102111021000000 has 588 divisors, whose sum is σ = 366210845566176. Its totient is φ = 27202665600000.

The previous prime is 102111020999947. The next prime is 102111021000049. The reversal of 102111021000000 is 120111201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 10106994949 + ... + 10107005051.

Almost surely, 2^{102111021000000} is an apocalyptic number.

102111021000000 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 102111021000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183105422783088).

102111021000000 is an abundant number, since it is smaller than the sum of its proper divisors (264099824566176).

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

102111021000000 is an equidigital number, since it uses as much as digits as its factorization.

102111021000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11274 (or 11236 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102111021000000 its reverse (120111201), we get a palindrome (102111141111201).

The spelling of 102111021000000 in words is "one hundred two trillion, one hundred eleven billion, twenty-one million", and thus it is an aban number.