101221121101020 has 96 divisors (see below), whose sum is σ = 295951610787840. Its totient is φ = 25800396103680.

The previous prime is 101221121101007. The next prime is 101221121101021. The reversal of 101221121101020 is 20101121122101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221121101021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24084196 + ... + 27973035.

It is an arithmetic number, because the mean of its divisors is an integer number (3082829279040).

Almost surely, 2^{101221121101020} is an apocalyptic number.

101221121101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221121101020 is an abundant number, since it is smaller than the sum of its proper divisors (194730489686820).

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

101221121101020 is a wasteful number, since it uses less digits than its factorization.

101221121101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52058675 (or 52058673 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101221121101020 its reverse (20101121122101), we get a palindrome (121322242223121).

The spelling of 101221121101020 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred one thousand, twenty".