102121102122 has 64 divisors (see below), whose sum is σ = 223321722624. Its totient is φ = 30941729280.

The previous prime is 102121102117. The next prime is 102121102123. The reversal of 102121102122 is 221201121201.

It is a super-2 number, since 2×102121102122² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102121102123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4735308 + ... + 4756824.

It is an arithmetic number, because the mean of its divisors is an integer number (3489401916).

Almost surely, 2^102121102122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102121102122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111660861312).

102121102122 is an abundant number, since it is smaller than the sum of its proper divisors (121200620502).

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

102121102122 is a wasteful number, since it uses less digits than its factorization.

102121102122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22463.

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

Adding to 102121102122 its reverse (221201121201), we get a palindrome (323322223323).

The spelling of 102121102122 in words is "one hundred two billion, one hundred twenty-one million, one hundred two thousand, one hundred twenty-two".