2121133102100 has 36 divisors (see below), whose sum is σ = 4622117707200. Its totient is φ = 844903217760.

The previous prime is 2121133102097. The next prime is 2121133102103. The reversal of 2121133102100 is 12013311212.

It is an interprime number because it is at equal distance from previous prime (2121133102097) and next prime (2121133102103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121133102103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44351270 + ... + 44399069.

Almost surely, 2^{2121133102100} is an apocalyptic number.

2121133102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121133102100 is an abundant number, since it is smaller than the sum of its proper divisors (2500984605100).

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

2121133102100 is a wasteful number, since it uses less digits than its factorization.

2121133102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88750592 (or 88750585 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 2121133102100 its reverse (12013311212), we get a palindrome (2133146413312).

The spelling of 2121133102100 in words is "two trillion, one hundred twenty-one billion, one hundred thirty-three million, one hundred two thousand, one hundred".