100200021022101 has 384 divisors, whose sum is σ = 195953678807040. Its totient is φ = 43942735872000.

The previous prime is 100200021022051. The next prime is 100200021022109. The reversal of 100200021022101 is 101220120002001.

It is not a de Polignac number, because 100200021022101 - 2⁷ = 100200021021973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200021022109) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 33748742545 + ... + 33748745513.

It is an arithmetic number, because the mean of its divisors is an integer number (510296038560).

Almost surely, 2^{100200021022101} is an apocalyptic number.

100200021022101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100200021022101 is a deficient number, since it is larger than the sum of its proper divisors (95753657784939).

100200021022101 is a wasteful number, since it uses less digits than its factorization.

100200021022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4125 (or 4108 counting only the distinct ones).

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

Adding to 100200021022101 its reverse (101220120002001), we get a palindrome (201420141024102).

The spelling of 100200021022101 in words is "one hundred trillion, two hundred billion, twenty-one million, twenty-two thousand, one hundred one".