102210121131030 has 64 divisors (see below), whose sum is σ = 297338534208000. Its totient is φ = 24778211182560.

The previous prime is 102210121131011. The next prime is 102210121131043. The reversal of 102210121131030 is 30131121012201.

102210121131030 is a `hidden beast` number, since 10 + 2 + 2 + 101 + 211 + 310 + 30 = 666.

It is a super-3 number, since 3×102210121131030³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102210121130994 and 102210121131012.

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, 17207088130 + ... + 17207094069.

It is an arithmetic number, because the mean of its divisors is an integer number (4645914597000).

Almost surely, 2^{102210121131030} is an apocalyptic number.

102210121131030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102210121131030 is an abundant number, since it is smaller than the sum of its proper divisors (195128413076970).

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

102210121131030 is a wasteful number, since it uses less digits than its factorization.

102210121131030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34414182226 (or 34414182220 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102210121131030 its reverse (30131121012201), we get a palindrome (132341242143231).

The spelling of 102210121131030 in words is "one hundred two trillion, two hundred ten billion, one hundred twenty-one million, one hundred thirty-one thousand, thirty".