2102010011010 has 256 divisors, whose sum is σ = 7039702656000. Its totient is φ = 443500759296.

The previous prime is 2102010010937. The next prime is 2102010011033. The reversal of 2102010011010 is 101100102012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2102010010983 and 2102010011001.

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, 330952 + ... + 2076908.

It is an arithmetic number, because the mean of its divisors is an integer number (27498838500).

Almost surely, 2^{2102010011010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102010011010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519851328000).

2102010011010 is an abundant number, since it is smaller than the sum of its proper divisors (4937692644990).

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

2102010011010 is a wasteful number, since it uses less digits than its factorization.

2102010011010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746007 (or 1745987 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2102010011010 its reverse (101100102012), we get a palindrome (2203110113022).

The spelling of 2102010011010 in words is "two trillion, one hundred two billion, ten million, eleven thousand, ten".