102111133231000 has 512 divisors, whose sum is σ = 250847749152000. Its totient is φ = 38874724761600.

The previous prime is 102111133230919. The next prime is 102111133231087. The reversal of 102111133231000 is 132331111201.

It is a super-2 number, since 2×102111133231000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 108976662532 + ... + 108976663468.

Almost surely, 2^{102111133231000} is an apocalyptic number.

102111133231000 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 102111133231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125423874576000).

102111133231000 is an abundant number, since it is smaller than the sum of its proper divisors (148736615921000).

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

102111133231000 is a wasteful number, since it uses less digits than its factorization.

102111133231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 102111133231000 its reverse (132331111201), we get a palindrome (102243464342201).

The spelling of 102111133231000 in words is "one hundred two trillion, one hundred eleven billion, one hundred thirty-three million, two hundred thirty-one thousand".