102011000021000 has 256 divisors, whose sum is σ = 273781976832000. Its totient is φ = 34850290176000.

The previous prime is 102011000020997. The next prime is 102011000021039. The reversal of 102011000021000 is 120000110201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3632726960 + ... + 3632755040.

It is an arithmetic number, because the mean of its divisors is an integer number (1069460847000).

Almost surely, 2^{102011000021000} is an apocalyptic number.

102011000021000 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 102011000021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136890988416000).

102011000021000 is an abundant number, since it is smaller than the sum of its proper divisors (171770976811000).

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

102011000021000 is a wasteful number, since it uses less digits than its factorization.

102011000021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29945 (or 29931 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102011000021000 its reverse (120000110201), we get a palindrome (102131000131201).

The spelling of 102011000021000 in words is "one hundred two trillion, eleven billion, twenty-one thousand".