101001121021020 has 48 divisors (see below), whose sum is σ = 308512515120768. Its totient is φ = 24485120247360.

The previous prime is 101001121021019. The next prime is 101001121021049. The reversal of 101001121021020 is 20120121100101.

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 = 101001121020987 and 101001121021005.

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, 76516000114 + ... + 76516001433.

It is an arithmetic number, because the mean of its divisors is an integer number (6427344065016).

Almost surely, 2^{101001121021020} is an apocalyptic number.

101001121021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001121021020 is an abundant number, since it is smaller than the sum of its proper divisors (207511394099748).

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

101001121021020 is a wasteful number, since it uses less digits than its factorization.

101001121021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153032001570 (or 153032001568 counting only the distinct ones).

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

Adding to 101001121021020 its reverse (20120121100101), we get a palindrome (121121242121121).

The spelling of 101001121021020 in words is "one hundred one trillion, one billion, one hundred twenty-one million, twenty-one thousand, twenty".