10012021100100 has 288 divisors, whose sum is σ = 33337064208000. Its totient is φ = 2574681500160.

The previous prime is 10012021100099. The next prime is 10012021100113. The reversal of 10012021100100 is 100112021001.

It is a happy number.

It is a super-2 number, since 2×10012021100100² (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 95 ways as a sum of consecutive naturals, for example, 64833579 + ... + 64987821.

Almost surely, 2^{10012021100100} is an apocalyptic number.

10012021100100 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 10012021100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16668532104000).

10012021100100 is an abundant number, since it is smaller than the sum of its proper divisors (23325043107900).

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

10012021100100 is a wasteful number, since it uses less digits than its factorization.

10012021100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155124 (or 155111 counting only the distinct ones).

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

Adding to 10012021100100 its reverse (100112021001), we get a palindrome (10112133121101).

The spelling of 10012021100100 in words is "ten trillion, twelve billion, twenty-one million, one hundred thousand, one hundred".