10000021121100 has 324 divisors, whose sum is σ = 32087603225496. Its totient is φ = 2604425633280.

The previous prime is 10000021121099. The next prime is 10000021121149. The reversal of 10000021121100 is 112112000001.

It is a happy number.

It is a super-2 number, since 2×10000021121100² (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 an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 697004127 + ... + 697018473.

Almost surely, 2^{10000021121100} is an apocalyptic number.

10000021121100 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 10000021121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16043801612748).

10000021121100 is an abundant number, since it is smaller than the sum of its proper divisors (22087582104396).

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

10000021121100 is a wasteful number, since it uses less digits than its factorization.

10000021121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14646 (or 14533 counting only the distinct ones).

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

Adding to 10000021121100 its reverse (112112000001), we get a palindrome (10112133121101).

The spelling of 10000021121100 in words is "ten trillion, twenty-one million, one hundred twenty-one thousand, one hundred".