101211102101020 has 48 divisors (see below), whose sum is σ = 223730671731840. Its totient is φ = 38353532152896.

The previous prime is 101211102101017. The next prime is 101211102101041. The reversal of 101211102101020 is 20101201112101.

It is a happy number.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 193524799 + ... + 194047081.

It is an arithmetic number, because the mean of its divisors is an integer number (4661055661080).

Almost surely, 2^{101211102101020} is an apocalyptic number.

101211102101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211102101020 is an abundant number, since it is smaller than the sum of its proper divisors (122519569630820).

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

101211102101020 is a wasteful number, since it uses less digits than its factorization.

101211102101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032274 (or 1032272 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101211102101020 its reverse (20101201112101), we get a palindrome (121312303213121).

The spelling of 101211102101020 in words is "one hundred one trillion, two hundred eleven billion, one hundred two million, one hundred one thousand, twenty".