100212101102100 has 72 divisors (see below), whose sum is σ = 312250628882080. Its totient is φ = 24667594116480.

The previous prime is 100212101102053. The next prime is 100212101102147. The reversal of 100212101102100 is 1201101212001.

It is an interprime number because it is at equal distance from previous prime (100212101102053) and next prime (100212101102147).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12847701370 + ... + 12847709169.

Almost surely, 2^{100212101102100} is an apocalyptic number.

100212101102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212101102100 is an abundant number, since it is smaller than the sum of its proper divisors (212038527779980).

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

100212101102100 is a wasteful number, since it uses less digits than its factorization.

100212101102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25695410569 (or 25695410562 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100212101102100 its reverse (1201101212001), we get a palindrome (101413202314101).

The spelling of 100212101102100 in words is "one hundred trillion, two hundred twelve billion, one hundred one million, one hundred two thousand, one hundred".