102111220101 has 64 divisors (see below), whose sum is σ = 152972165376. Its totient is φ = 60568611840.

The previous prime is 102111220067. The next prime is 102111220111. The reversal of 102111220101 is 101022111201.

It is not a de Polignac number, because 102111220101 - 2²⁶ = 102044111237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102111220111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39932715 + ... + 39935271.

It is an arithmetic number, because the mean of its divisors is an integer number (2390190084).

Almost surely, 2^102111220101 is an apocalyptic number.

102111220101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102111220101 is a deficient number, since it is larger than the sum of its proper divisors (50860945275).

102111220101 is a wasteful number, since it uses less digits than its factorization.

102111220101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102111220101 its reverse (101022111201), we get a palindrome (203133331302).

The spelling of 102111220101 in words is "one hundred two billion, one hundred eleven million, two hundred twenty thousand, one hundred one".