101100200220101 has 16 divisors (see below), whose sum is σ = 107829713019840. Its totient is φ = 94514238080640.

The previous prime is 101100200220053. The next prime is 101100200220109. The reversal of 101100200220101 is 101022002001101.

It is a cyclic number.

It is not a de Polignac number, because 101100200220101 - 2¹⁸ = 101100199957957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100200220109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36233480 + ... + 38923841.

It is an arithmetic number, because the mean of its divisors is an integer number (6739357063740).

Almost surely, 2^{101100200220101} is an apocalyptic number.

It is an amenable number.

101100200220101 is a deficient number, since it is larger than the sum of its proper divisors (6729512799739).

101100200220101 is an equidigital number, since it uses as much as digits as its factorization.

101100200220101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75158276.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101100200220101 its reverse (101022002001101), we get a palindrome (202122202221202).

The spelling of 101100200220101 in words is "one hundred one trillion, one hundred billion, two hundred million, two hundred twenty thousand, one hundred one".