101022111102 has 64 divisors (see below), whose sum is σ = 224192936448. Its totient is φ = 30088368000.

The previous prime is 101022111067. The next prime is 101022111137. The reversal of 101022111102 is 201111220101.

It is an interprime number because it is at equal distance from previous prime (101022111067) and next prime (101022111137).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5816952 + ... + 5834292.

It is an arithmetic number, because the mean of its divisors is an integer number (3503014632).

Almost surely, 2^101022111102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101022111102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112096468224).

101022111102 is an abundant number, since it is smaller than the sum of its proper divisors (123170825346).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101022111102 is a wasteful number, since it uses less digits than its factorization.

101022111102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18865.

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

Adding to 101022111102 its reverse (201111220101), we get a palindrome (302133331203).

The spelling of 101022111102 in words is "one hundred one billion, twenty-two million, one hundred eleven thousand, one hundred two".