102011021211000 has 384 divisors, whose sum is σ = 353302665468480. Its totient is φ = 24485084800000.

The previous prime is 102011021210983. The next prime is 102011021211019. The reversal of 102011021211000 is 112120110201.

It is a super-2 number, since 2×102011021211000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 35271802 + ... + 38054198.

Almost surely, 2^{102011021211000} is an apocalyptic number.

102011021211000 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 102011021211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176651332734240).

102011021211000 is an abundant number, since it is smaller than the sum of its proper divisors (251291644257480).

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

102011021211000 is a wasteful number, since it uses less digits than its factorization.

102011021211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782544 (or 2782519 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102011021211000 its reverse (112120110201), we get a palindrome (102123141321201).

It can be divided in two parts, 10201 and 1021211000, that added together give a palindrome (1021221201).

The spelling of 102011021211000 in words is "one hundred two trillion, eleven billion, twenty-one million, two hundred eleven thousand".