101011202120020 has 24 divisors (see below), whose sum is σ = 214000723788264. Its totient is φ = 40046919069696.

The previous prime is 101011202119943. The next prime is 101011202120021. The reversal of 101011202120020 is 20021202110101.

It can be written as a sum of positive squares in 4 ways, for example, as 10506194238276 + 90505007881744 = 3241326^2 + 9513412^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011202120021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22347608829 + ... + 22347613348.

It is an arithmetic number, because the mean of its divisors is an integer number (8916696824511).

Almost surely, 2^{101011202120020} is an apocalyptic number.

101011202120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011202120020 is an abundant number, since it is smaller than the sum of its proper divisors (112989521668244).

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

101011202120020 is a wasteful number, since it uses less digits than its factorization.

101011202120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44695222299 (or 44695222297 counting only the distinct ones).

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

Adding to 101011202120020 its reverse (20021202110101), we get a palindrome (121032404230121).

The spelling of 101011202120020 in words is "one hundred one trillion, eleven billion, two hundred two million, one hundred twenty thousand, twenty".