100100021012100 has 216 divisors, whose sum is σ = 323194131253448. Its totient is φ = 25894826496000.

The previous prime is 100100021012093. The next prime is 100100021012113. The reversal of 100100021012100 is 1210120001001.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 7332148346436 + 92767872665664 = 2707794^2 + 9631608^2 .

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 71 ways as a sum of consecutive naturals, for example, 6762150 + ... + 15682050.

Almost surely, 2^{100100021012100} is an apocalyptic number.

100100021012100 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 100100021012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161597065626724).

100100021012100 is an abundant number, since it is smaller than the sum of its proper divisors (223094110241348).

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

100100021012100 is a wasteful number, since it uses less digits than its factorization.

100100021012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8920295 (or 8920285 counting only the distinct ones).

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

Adding to 100100021012100 its reverse (1210120001001), we get a palindrome (101310141013101).

The spelling of 100100021012100 in words is "one hundred trillion, one hundred billion, twenty-one million, twelve thousand, one hundred".