2010110102000 has 640 divisors, whose sum is σ = 6605085247488. Its totient is φ = 571318272000.

The previous prime is 2010110101999. The next prime is 2010110102017. The reversal of 2010110102000 is 2010110102.

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 127 ways as a sum of consecutive naturals, for example, 166159952 + ... + 166172048.

Almost surely, 2^{2010110102000} is an apocalyptic number.

2010110102000 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 2010110102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302542623744).

2010110102000 is an abundant number, since it is smaller than the sum of its proper divisors (4594975145488).

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

2010110102000 is a wasteful number, since it uses less digits than its factorization.

2010110102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12234 (or 12218 counting only the distinct ones).

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

Adding to 2010110102000 its reverse (2010110102), we get a palindrome (2012120212102).

2010110102000 divided by its reverse (2010110102) gives a cube (1000 = 10³).

It can be divided in two parts, 20101 and 10102000, that added together give a palindrome (10122101).

The spelling of 2010110102000 in words is "two trillion, ten billion, one hundred ten million, one hundred two thousand".