20102010002000 has 80 divisors (see below), whose sum is σ = 49087914739344. Its totient is φ = 7961192000000.

The previous prime is 20102010001991. The next prime is 20102010002023. The reversal of 20102010002000 is 20001020102.

It can be written as a sum of positive squares in 8 ways, for example, as 76277601856 + 20025732400144 = 276184^2 + 4475012^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×20102010002000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49555451 + ... + 49959450.

Almost surely, 2^{20102010002000} is an apocalyptic number.

20102010002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102010002000 is an abundant number, since it is smaller than the sum of its proper divisors (28985904737344).

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

20102010002000 is a wasteful number, since it uses less digits than its factorization.

20102010002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99515025 (or 99515009 counting only the distinct ones).

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

Adding to 20102010002000 its reverse (20001020102), we get a palindrome (20122011022102).

The spelling of 20102010002000 in words is "twenty trillion, one hundred two billion, ten million, two thousand".