102101220110022 has 128 divisors (see below), whose sum is σ = 239893729367040. Its totient is φ = 28358246499840.

The previous prime is 102101220109951. The next prime is 102101220110051. The reversal of 102101220110022 is 220011022101201.

It is a junction number, because it is equal to n+sod(n) for n = 102101220109983 and 102101220110010.

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, 10603507504 + ... + 10603517132.

It is an arithmetic number, because the mean of its divisors is an integer number (1874169760680).

Almost surely, 2^{102101220110022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102101220110022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119946864683520).

102101220110022 is an abundant number, since it is smaller than the sum of its proper divisors (137792509257018).

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

102101220110022 is a wasteful number, since it uses less digits than its factorization.

102101220110022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15006.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102101220110022 its reverse (220011022101201), we get a palindrome (322112242211223).

The spelling of 102101220110022 in words is "one hundred two trillion, one hundred one billion, two hundred twenty million, one hundred ten thousand, twenty-two".