2101202122110 has 1024 divisors, whose sum is σ = 7073198899200. Its totient is φ = 386921299968.

The previous prime is 2101202122027. The next prime is 2101202122111. The reversal of 2101202122110 is 112212021012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2101202122110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101202122111) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 3732152689 + ... + 3732153251.

It is an arithmetic number, because the mean of its divisors is an integer number (6907420800).

Almost surely, 2^{2101202122110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101202122110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3536599449600).

2101202122110 is an abundant number, since it is smaller than the sum of its proper divisors (4971996777090).

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

2101202122110 is a wasteful number, since it uses less digits than its factorization.

2101202122110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2101202122110 its reverse (112212021012), we get a palindrome (2213414143122).

The spelling of 2101202122110 in words is "two trillion, one hundred one billion, two hundred two million, one hundred twenty-two thousand, one hundred ten".