2102089560900 has 288 divisors, whose sum is σ = 7293673175040. Its totient is φ = 457017876480.

The previous prime is 2102089560871. The next prime is 2102089560943. The reversal of 2102089560900 is 90659802012.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 8524132 + ... + 8767268.

It is an arithmetic number, because the mean of its divisors is an integer number (25325254080).

Almost surely, 2^{2102089560900} is an apocalyptic number.

2102089560900 is a gapful number since it is divisible by the number (20) 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 2102089560900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3646836587520).

2102089560900 is an abundant number, since it is smaller than the sum of its proper divisors (5191583614140).

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

2102089560900 is a wasteful number, since it uses less digits than its factorization.

2102089560900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243363 (or 243356 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 2102089560900 in words is "two trillion, one hundred two billion, eighty-nine million, five hundred sixty thousand, nine hundred".