102011121112000 has 112 divisors (see below), whose sum is σ = 252646675950240. Its totient is φ = 40801842432000.

The previous prime is 102011121111971. The next prime is 102011121112027. The reversal of 102011121112000 is 211121110201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127368796 + ... + 128167204.

Almost surely, 2^{102011121112000} is an apocalyptic number.

102011121112000 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 102011121112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126323337975120).

102011121112000 is an abundant number, since it is smaller than the sum of its proper divisors (150635554838240).

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

102011121112000 is an equidigital number, since it uses as much as digits as its factorization.

102011121112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814407 (or 814387 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102011121112000 its reverse (211121110201), we get a palindrome (102222242222201).

The spelling of 102011121112000 in words is "one hundred two trillion, eleven billion, one hundred twenty-one million, one hundred twelve thousand".