101111102102101 has 16 divisors (see below), whose sum is σ = 124469671068288. Its totient is φ = 79983768628800.

The previous prime is 101111102102093. The next prime is 101111102102123. The reversal of 101111102102101 is 101201201111101.

It is a cyclic number.

It is not a de Polignac number, because 101111102102101 - 2³ = 101111102102093 is a prime.

It is a super-2 number, since 2×101111102102101² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111102102701) 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, 112217170 + ... + 113114611.

It is an arithmetic number, because the mean of its divisors is an integer number (7779354441768).

Almost surely, 2^{101111102102101} is an apocalyptic number.

It is an amenable number.

101111102102101 is a deficient number, since it is larger than the sum of its proper divisors (23358568966187).

101111102102101 is a wasteful number, since it uses less digits than its factorization.

101111102102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225336732.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101111102102101 its reverse (101201201111101), we get a palindrome (202312303213202).

The spelling of 101111102102101 in words is "one hundred one trillion, one hundred eleven billion, one hundred two million, one hundred two thousand, one hundred one".