100211210102100 has 144 divisors (see below), whose sum is σ = 305866725151680. Its totient is φ = 25261599052800.

The previous prime is 100211210102053. The next prime is 100211210102173. The reversal of 100211210102100 is 1201012112001.

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 47 ways as a sum of consecutive naturals, for example, 16440537 + ... + 21695936.

It is an arithmetic number, because the mean of its divisors is an integer number (2124074480220).

Almost surely, 2^{100211210102100} is an apocalyptic number.

100211210102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211210102100 is an abundant number, since it is smaller than the sum of its proper divisors (205655515049580).

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

100211210102100 is a wasteful number, since it uses less digits than its factorization.

100211210102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38136970 (or 38136963 counting only the distinct ones).

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

Adding to 100211210102100 its reverse (1201012112001), we get a palindrome (101412222214101).

The spelling of 100211210102100 in words is "one hundred trillion, two hundred eleven billion, two hundred ten million, one hundred two thousand, one hundred".