2101121012010 has 128 divisors (see below), whose sum is σ = 5239453973760. Its totient is φ = 538610688000.

The previous prime is 2101121012009. The next prime is 2101121012069. The reversal of 2101121012010 is 102101211012.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 212208060 + ... + 212217960.

It is an arithmetic number, because the mean of its divisors is an integer number (40933234170).

Almost surely, 2^{2101121012010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101121012010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619726986880).

2101121012010 is an abundant number, since it is smaller than the sum of its proper divisors (3138332961750).

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

2101121012010 is a wasteful number, since it uses less digits than its factorization.

2101121012010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10984.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2101121012010 its reverse (102101211012), we get a palindrome (2203222223022).

The spelling of 2101121012010 in words is "two trillion, one hundred one billion, one hundred twenty-one million, twelve thousand, ten".