102233010131010 has 256 divisors, whose sum is σ = 301242687897600. Its totient is φ = 24464881267200.

The previous prime is 102233010130967. The next prime is 102233010131023. The reversal of 102233010131010 is 10131010332201.

102233010131010 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 330 + 10 + 1 + 310 + 10 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 160129725 + ... + 160766895.

It is an arithmetic number, because the mean of its divisors is an integer number (1176729249600).

Almost surely, 2^{102233010131010} is an apocalyptic number.

102233010131010 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 102233010131010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150621343948800).

102233010131010 is an abundant number, since it is smaller than the sum of its proper divisors (199009677766590).

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

102233010131010 is a wasteful number, since it uses less digits than its factorization.

102233010131010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637894 (or 637888 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 102233010131010 its reverse (10131010332201), we get a palindrome (112364020463211).

The spelling of 102233010131010 in words is "one hundred two trillion, two hundred thirty-three billion, ten million, one hundred thirty-one thousand, ten".