2120002101 has 54 divisors (see below), whose sum is σ = 3626203542. Its totient is φ = 1190034720.

The previous prime is 2120002091. The next prime is 2120002103. The reversal of 2120002101 is 1012000212.

It can be written as a sum of positive squares in only one way, i.e., 1774599876 + 345402225 = 42126^2 + 18585^2 .

It is not a de Polignac number, because 2120002101 - 2¹⁴ = 2119985717 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120002103) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1534431 + ... + 1535811.

Almost surely, 2^2120002101 is an apocalyptic number.

2120002101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2120002101 is a deficient number, since it is larger than the sum of its proper divisors (1506201441).

2120002101 is a wasteful number, since it uses less digits than its factorization.

2120002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2120002101 is about 46043.4805482818. The cubic root of 2120002101 is about 1284.6320820851.

Adding to 2120002101 its reverse (1012000212), we get a palindrome (3132002313).

The spelling of 2120002101 in words is "two billion, one hundred twenty million, two thousand, one hundred one".