20101010102000 has 160 divisors (see below), whose sum is σ = 50129867983104. Its totient is φ = 7791413760000.

The previous prime is 20101010101969. The next prime is 20101010102003. The reversal of 20101010102000 is 20101010102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101010102003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8435384 + ... + 10552616.

Almost surely, 2^{20101010102000} is an apocalyptic number.

20101010102000 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 20101010102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25064933991552).

20101010102000 is an abundant number, since it is smaller than the sum of its proper divisors (30028857881104).

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

20101010102000 is a wasteful number, since it uses less digits than its factorization.

20101010102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117404 (or 2117388 counting only the distinct ones).

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

Adding to 20101010102000 its reverse (20101010102), we get a palindrome (20121111112102).

20101010102000 divided by its reverse (20101010102) gives a cube (1000 = 10³).

The spelling of 20101010102000 in words is "twenty trillion, one hundred one billion, ten million, one hundred two thousand".