101121202020 has 96 divisors (see below), whose sum is σ = 293671558656. Its totient is φ = 25977024000.

The previous prime is 101121202001. The next prime is 101121202031. The reversal of 101121202020 is 20202121101.

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 = 101121201987 and 101121202005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1276 + ... + 449715.

It is an arithmetic number, because the mean of its divisors is an integer number (3059078736).

Almost surely, 2^101121202020 is an apocalyptic number.

101121202020 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 101121202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146835779328).

101121202020 is an abundant number, since it is smaller than the sum of its proper divisors (192550356636).

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

101121202020 is a wasteful number, since it uses less digits than its factorization.

101121202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451141 (or 451139 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101121202020 its reverse (20202121101), we get a palindrome (121323323121).

It can be divided in two parts, 101 and 121202020, that added together give a palindrome (121202121).

The spelling of 101121202020 in words is "one hundred one billion, one hundred twenty-one million, two hundred two thousand, twenty".