102033232031100 has 288 divisors, whose sum is σ = 312893973504000. Its totient is φ = 25599847806720.

The previous prime is 102033232031077. The next prime is 102033232031131. The reversal of 102033232031100 is 1130232330201.

It is a congruent number.

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, 532495111 + ... + 532686689.

It is an arithmetic number, because the mean of its divisors is an integer number (1086437408000).

Almost surely, 2^{102033232031100} is an apocalyptic number.

102033232031100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102033232031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156446986752000).

102033232031100 is an abundant number, since it is smaller than the sum of its proper divisors (210860741472900).

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

102033232031100 is a wasteful number, since it uses less digits than its factorization.

102033232031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192257 (or 192250 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 102033232031100 its reverse (1130232330201), we get a palindrome (103163464361301).

The spelling of 102033232031100 in words is "one hundred two trillion, thirty-three billion, two hundred thirty-two million, thirty-one thousand, one hundred".