2120121020100 has 144 divisors (see below), whose sum is σ = 6267217983488. Its totient is φ = 553229429760.

The previous prime is 2120121020063. The next prime is 2120121020113. The reversal of 2120121020100 is 10201210212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2400162 + ... + 3162438.

Almost surely, 2^{2120121020100} is an apocalyptic number.

2120121020100 is a gapful number since it is divisible by the number (20) 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 2120121020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133608991744).

2120121020100 is an abundant number, since it is smaller than the sum of its proper divisors (4147096963388).

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

2120121020100 is a wasteful number, since it uses less digits than its factorization.

2120121020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762494 (or 762487 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2120121020100 its reverse (10201210212), we get a palindrome (2130322230312).

The spelling of 2120121020100 in words is "two trillion, one hundred twenty billion, one hundred twenty-one million, twenty thousand, one hundred".