101012100212020 has 48 divisors (see below), whose sum is σ = 219443172958800. Its totient is φ = 39011019837440.

The previous prime is 101012100212011. The next prime is 101012100212047. The reversal of 101012100212020 is 20212001210101.

It can be written as a sum of positive squares in 8 ways, for example, as 7921905609744 + 93090194602276 = 2814588^2 + 9648326^2 .

It is a super-3 number, since 3×101012100212020³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41219286 + ... + 43601074.

It is an arithmetic number, because the mean of its divisors is an integer number (4571732769975).

Almost surely, 2^{101012100212020} is an apocalyptic number.

101012100212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012100212020 is an abundant number, since it is smaller than the sum of its proper divisors (118431072746780).

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

101012100212020 is a wasteful number, since it uses less digits than its factorization.

101012100212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454948 (or 2454946 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101012100212020 its reverse (20212001210101), we get a palindrome (121224101422121).

The spelling of 101012100212020 in words is "one hundred one trillion, twelve billion, one hundred million, two hundred twelve thousand, twenty".