101120011021020 has 96 divisors (see below), whose sum is σ = 290055480180480. Its totient is φ = 26306403197440.

The previous prime is 101120011021019. The next prime is 101120011021033. The reversal of 101120011021020 is 20120110021101.

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 = 101120011020987 and 101120011021005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51731179 + ... + 53650301.

It is an arithmetic number, because the mean of its divisors is an integer number (3021411251880).

Almost surely, 2^{101120011021020} is an apocalyptic number.

101120011021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120011021020 is an abundant number, since it is smaller than the sum of its proper divisors (188935469159460).

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

101120011021020 is a wasteful number, since it uses less digits than its factorization.

101120011021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940595 (or 1940593 counting only the distinct ones).

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

Adding to 101120011021020 its reverse (20120110021101), we get a palindrome (121240121042121).

The spelling of 101120011021020 in words is "one hundred one trillion, one hundred twenty billion, eleven million, twenty-one thousand, twenty".