102203101033110 has 768 divisors, whose sum is σ = 350159774515200. Its totient is φ = 20037203020800.

The previous prime is 102203101032973. The next prime is 102203101033127. The reversal of 102203101033110 is 11330101302201.

102203101033110 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 0 + 310 + 10 + 331 + 10 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 41938078812 + ... + 41938081248.

It is an arithmetic number, because the mean of its divisors is an integer number (455937206400).

Almost surely, 2^{102203101033110} is an apocalyptic number.

102203101033110 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 102203101033110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175079887257600).

102203101033110 is an abundant number, since it is smaller than the sum of its proper divisors (247956673482090).

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

102203101033110 is a wasteful number, since it uses less digits than its factorization.

102203101033110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3654 counting only the distinct ones).

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

Adding to 102203101033110 its reverse (11330101302201), we get a palindrome (113533202335311).

The spelling of 102203101033110 in words is "one hundred two trillion, two hundred three billion, one hundred one million, thirty-three thousand, one hundred ten".