102122021232210 has 192 divisors, whose sum is σ = 292346382812544. Its totient is φ = 22756333824000.

The previous prime is 102122021232137. The next prime is 102122021232251. The reversal of 102122021232210 is 12232120221201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5093485 + ... + 15171935.

It is an arithmetic number, because the mean of its divisors is an integer number (1522637410482).

Almost surely, 2^{102122021232210} is an apocalyptic number.

102122021232210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102122021232210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146173191406272).

102122021232210 is an abundant number, since it is smaller than the sum of its proper divisors (190224361580334).

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

102122021232210 is a wasteful number, since it uses less digits than its factorization.

102122021232210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10078649 (or 10078642 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 102122021232210 its reverse (12232120221201), we get a palindrome (114354141453411).

The spelling of 102122021232210 in words is "one hundred two trillion, one hundred twenty-two billion, twenty-one million, two hundred thirty-two thousand, two hundred ten".