101202002212010 has 64 divisors (see below), whose sum is σ = 212628238099200. Its totient is φ = 33965289556992.

The previous prime is 101202002211953. The next prime is 101202002212037. The reversal of 101202002212010 is 10212200202101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79268495 + ... + 80535074.

It is an arithmetic number, because the mean of its divisors is an integer number (3322316220300).

Almost surely, 2^{101202002212010} is an apocalyptic number.

101202002212010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101202002212010 is an abundant number, since it is smaller than the sum of its proper divisors (111426235887190).

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

101202002212010 is a wasteful number, since it uses less digits than its factorization.

101202002212010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159803775.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101202002212010 its reverse (10212200202101), we get a palindrome (111414202414111).

The spelling of 101202002212010 in words is "one hundred one trillion, two hundred two billion, two million, two hundred twelve thousand, ten".