101121010120020 has 192 divisors, whose sum is σ = 316072654571520. Its totient is φ = 23943275865600.

The previous prime is 101121010120019. The next prime is 101121010120033. The reversal of 101121010120020 is 20021010121101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101121010119978 and 101121010120005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1460428561 + ... + 1460497799.

It is an arithmetic number, because the mean of its divisors is an integer number (1646211742560).

Almost surely, 2^{101121010120020} is an apocalyptic number.

101121010120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101121010120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158036327285760).

101121010120020 is an abundant number, since it is smaller than the sum of its proper divisors (214951644451500).

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

101121010120020 is a wasteful number, since it uses less digits than its factorization.

101121010120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120766 (or 120764 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101121010120020 its reverse (20021010121101), we get a palindrome (121142020241121).

The spelling of 101121010120020 in words is "one hundred one trillion, one hundred twenty-one billion, ten million, one hundred twenty thousand, twenty".