100101100200101 has 32 divisors (see below), whose sum is σ = 134402451192576. Its totient is φ = 72000269568000.

The previous prime is 100101100200077. The next prime is 100101100200133. The reversal of 100101100200101 is 101002001101001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100101100200101 - 2²² = 100101096005797 is a prime.

It is a super-2 number, since 2×100101100200101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101100200151) 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, 185356811 + ... + 185896071.

It is an arithmetic number, because the mean of its divisors is an integer number (4200076599768).

Almost surely, 2^{100101100200101} is an apocalyptic number.

100101100200101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101100200101 is a deficient number, since it is larger than the sum of its proper divisors (34301350992475).

100101100200101 is a wasteful number, since it uses less digits than its factorization.

100101100200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724733.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100101100200101 its reverse (101002001101001), we get a palindrome (201103101301102).

The spelling of 100101100200101 in words is "one hundred trillion, one hundred one billion, one hundred million, two hundred thousand, one hundred one".