101221002100020 has 96 divisors (see below), whose sum is σ = 317540480374656. Its totient is φ = 23875224076800.

The previous prime is 101221002100007. The next prime is 101221002100027. The reversal of 101221002100020 is 20001200122101.

It is a super-2 number, since 2×101221002100020² (a number of 29 digits) contains 22 as substring.

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 = 101221002099969 and 101221002100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221002100027) 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, 2072477671 + ... + 2072526510.

It is an arithmetic number, because the mean of its divisors is an integer number (3307713337236).

Almost surely, 2^{101221002100020} is an apocalyptic number.

101221002100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221002100020 is an abundant number, since it is smaller than the sum of its proper divisors (216319478274636).

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

101221002100020 is a wasteful number, since it uses less digits than its factorization.

101221002100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4145004241 (or 4145004239 counting only the distinct ones).

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

Adding to 101221002100020 its reverse (20001200122101), we get a palindrome (121222202222121).

The spelling of 101221002100020 in words is "one hundred one trillion, two hundred twenty-one billion, two million, one hundred thousand, twenty".