101101220121020 has 48 divisors (see below), whose sum is σ = 242646209971200. Its totient is φ = 34662806658624.

The previous prime is 101101220120977. The next prime is 101101220121037. The reversal of 101101220121020 is 20121022101101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 101101220120986 and 101101220121004.

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, 5584781 + ... + 15277179.

It is an arithmetic number, because the mean of its divisors is an integer number (5055129374400).

Almost surely, 2^{101101220121020} is an apocalyptic number.

101101220121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101220121020 is an abundant number, since it is smaller than the sum of its proper divisors (141544989850180).

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

101101220121020 is a wasteful number, since it uses less digits than its factorization.

101101220121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9766922 (or 9766920 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101101220121020 its reverse (20121022101101), we get a palindrome (121222242222121).

The spelling of 101101220121020 in words is "one hundred one trillion, one hundred one billion, two hundred twenty million, one hundred twenty-one thousand, twenty".