100211202121100 has 54 divisors (see below), whose sum is σ = 252961705938060. Its totient is φ = 34358126439840.

The previous prime is 100211202121097. The next prime is 100211202121117. The reversal of 100211202121100 is 1121202112001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10225627970 + ... + 10225637769.

It is an arithmetic number, because the mean of its divisors is an integer number (4684476035890).

Almost surely, 2^{100211202121100} is an apocalyptic number.

100211202121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211202121100 is an abundant number, since it is smaller than the sum of its proper divisors (152750503816960).

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

100211202121100 is a wasteful number, since it uses less digits than its factorization.

100211202121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20451265767 (or 20451265753 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100211202121100 its reverse (1121202112001), we get a palindrome (101332404233101).

Subtracting from 100211202121100 its reverse (1121202112001), we obtain a palindrome (99090000009099).

The spelling of 100211202121100 in words is "one hundred trillion, two hundred eleven billion, two hundred two million, one hundred twenty-one thousand, one hundred".