102101110011000 has 384 divisors, whose sum is σ = 361572900212160. Its totient is φ = 26946266112000.

The previous prime is 102101110010929. The next prime is 102101110011037. The reversal of 102101110011000 is 110011101201.

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 95 ways as a sum of consecutive naturals, for example, 21405180 + ... + 25736820.

Almost surely, 2^{102101110011000} is an apocalyptic number.

102101110011000 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 102101110011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180786450106080).

102101110011000 is an abundant number, since it is smaller than the sum of its proper divisors (259471790201160).

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

102101110011000 is an equidigital number, since it uses as much as digits as its factorization.

102101110011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4331774 (or 4331748 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 102101110011000 its reverse (110011101201), we get a palindrome (102211121112201).

The spelling of 102101110011000 in words is "one hundred two trillion, one hundred one billion, one hundred ten million, eleven thousand".