101010201122000 has 80 divisors (see below), whose sum is σ = 250199804718864. Its totient is φ = 39418615040000.

The previous prime is 101010201121933. The next prime is 101010201122003. The reversal of 101010201122000 is 221102010101.

It can be written as a sum of positive squares in 8 ways, for example, as 40729821888064 + 60280379233936 = 6381992^2 + 7764044^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010201122003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615833861 + ... + 615997860.

Almost surely, 2^{101010201122000} is an apocalyptic number.

101010201122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101010201122000 is an abundant number, since it is smaller than the sum of its proper divisors (149189603596864).

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

101010201122000 is a wasteful number, since it uses less digits than its factorization.

101010201122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231831785 (or 1231831769 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101010201122000 its reverse (221102010101), we get a palindrome (101231303132101).

The spelling of 101010201122000 in words is "one hundred one trillion, ten billion, two hundred one million, one hundred twenty-two thousand".