11021010002100 has 216 divisors, whose sum is σ = 39485071196480. Its totient is φ = 2518745725440.

The previous prime is 11021010002099. The next prime is 11021010002147. The reversal of 11021010002100 is 120001012011.

It is a happy number.

It is a super-2 number, since 2×11021010002100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47783856 + ... + 48013944.

Almost surely, 2^{11021010002100} is an apocalyptic number.

11021010002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11021010002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19742535598240).

11021010002100 is an abundant number, since it is smaller than the sum of its proper divisors (28464061194380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11021010002100 is a wasteful number, since it uses less digits than its factorization.

11021010002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237719 (or 237709 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11021010002100 its reverse (120001012011), we get a palindrome (11141011014111).

The spelling of 11021010002100 in words is "eleven trillion, twenty-one billion, ten million, two thousand, one hundred".