100201212002100 has 864 divisors, whose sum is σ = 344836920774528. Its totient is φ = 22361923584000.

The previous prime is 100201212002029. The next prime is 100201212002183. The reversal of 100201212002100 is 1200212102001.

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 287 ways as a sum of consecutive naturals, for example, 11022018555 + ... + 11022027645.

It is an arithmetic number, because the mean of its divisors is an integer number (399116806452).

Almost surely, 2^{100201212002100} is an apocalyptic number.

100201212002100 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 100201212002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172418460387264).

100201212002100 is an abundant number, since it is smaller than the sum of its proper divisors (244635708772428).

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

100201212002100 is a wasteful number, since it uses less digits than its factorization.

100201212002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9537 (or 9519 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100201212002100 its reverse (1200212102001), we get a palindrome (101401424104101).

Subtracting from 100201212002100 its reverse (1200212102001), we obtain a palindrome (99000999900099).

The spelling of 100201212002100 in words is "one hundred trillion, two hundred one billion, two hundred twelve million, two thousand, one hundred".