100101322101 has 32 divisors (see below), whose sum is σ = 149289920640. Its totient is φ = 59133516800.

The previous prime is 100101322063. The next prime is 100101322109. The reversal of 100101322101 is 101223101001.

It is a cyclic number.

It is not a de Polignac number, because 100101322101 - 2⁷ = 100101321973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101322109) 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, 1467121 + ... + 1533833.

It is an arithmetic number, because the mean of its divisors is an integer number (4665310020).

Almost surely, 2^100101322101 is an apocalyptic number.

100101322101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101322101 is a deficient number, since it is larger than the sum of its proper divisors (49188598539).

100101322101 is a wasteful number, since it uses less digits than its factorization.

100101322101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67877.

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

Adding to 100101322101 its reverse (101223101001), we get a palindrome (201324423102).

The spelling of 100101322101 in words is "one hundred billion, one hundred one million, three hundred twenty-two thousand, one hundred one".