101021002120 has 16 divisors (see below), whose sum is σ = 227297254860. Its totient is φ = 40408400832.

The previous prime is 101021002111. The next prime is 101021002123. The reversal of 101021002120 is 21200120101.

It can be written as a sum of positive squares in 2 ways, for example, as 100893899044 + 127103076 = 317638^2 + 11274^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101021002097 and 101021002106.

It is not an unprimeable number, because it can be changed into a prime (101021002123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1262762487 + ... + 1262762566.

Almost surely, 2^101021002120 is an apocalyptic number.

101021002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021002120 is an abundant number, since it is smaller than the sum of its proper divisors (126276252740).

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

101021002120 is a wasteful number, since it uses less digits than its factorization.

101021002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525525064 (or 2525525060 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101021002120 its reverse (21200120101), we get a palindrome (122221122221).

The spelling of 101021002120 in words is "one hundred one billion, twenty-one million, two thousand, one hundred twenty".