102101021022 has 128 divisors (see below), whose sum is σ = 274372116480. Its totient is φ = 24462023040.

The previous prime is 102101020997. The next prime is 102101021041. The reversal of 102101021022 is 220120101201.

It is a junction number, because it is equal to n+sod(n) for n = 102101020989 and 102101021007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9502129 + ... + 9512867.

It is an arithmetic number, because the mean of its divisors is an integer number (2143532160).

Almost surely, 2^102101021022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102101021022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137186058240).

102101021022 is an abundant number, since it is smaller than the sum of its proper divisors (172271095458).

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

102101021022 is a wasteful number, since it uses less digits than its factorization.

102101021022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12358.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102101021022 its reverse (220120101201), we get a palindrome (322221122223).

The spelling of 102101021022 in words is "one hundred two billion, one hundred one million, twenty-one thousand, twenty-two".