101211100112020 has 192 divisors, whose sum is σ = 221707181687040. Its totient is φ = 38785001029632.

The previous prime is 101211100111993. The next prime is 101211100112027. The reversal of 101211100112020 is 20211001112101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211100112027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8243954122 + ... + 8243966398.

It is an arithmetic number, because the mean of its divisors is an integer number (1154724904620).

Almost surely, 2^{101211100112020} is an apocalyptic number.

101211100112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211100112020 is an abundant number, since it is smaller than the sum of its proper divisors (120496081575020).

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

101211100112020 is a wasteful number, since it uses less digits than its factorization.

101211100112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13274 (or 13272 counting only the distinct ones).

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

Adding to 101211100112020 its reverse (20211001112101), we get a palindrome (121422101224121).

The spelling of 101211100112020 in words is "one hundred one trillion, two hundred eleven billion, one hundred million, one hundred twelve thousand, twenty".