100100101202101 has 32 divisors (see below), whose sum is σ = 134400994560000. Its totient is φ = 71999612786880.

The previous prime is 100100101202063. The next prime is 100100101202107. The reversal of 100100101202101 is 101202101001001.

It is a cyclic number.

It is not a de Polignac number, because 100100101202101 - 2⁷ = 100100101201973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100101202107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274290850 + ... + 274655548.

It is an arithmetic number, because the mean of its divisors is an integer number (4200031080000).

Almost surely, 2^{100100101202101} is an apocalyptic number.

100100101202101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100100101202101 is a deficient number, since it is larger than the sum of its proper divisors (34300893357899).

100100101202101 is a wasteful number, since it uses less digits than its factorization.

100100101202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638929.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100100101202101 its reverse (101202101001001), we get a palindrome (201302202203102).

The spelling of 100100101202101 in words is "one hundred trillion, one hundred billion, one hundred one million, two hundred two thousand, one hundred one".