101220021011020 has 96 divisors (see below), whose sum is σ = 224011857678336. Its totient is φ = 38344024224000.

The previous prime is 101220021010991. The next prime is 101220021011047. The reversal of 101220021011020 is 20110120022101.

It is a super-2 number, since 2×101220021011020² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16222245 + ... + 21577795.

It is an arithmetic number, because the mean of its divisors is an integer number (2333456850816).

Almost surely, 2^{101220021011020} is an apocalyptic number.

101220021011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101220021011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112005928839168).

101220021011020 is an abundant number, since it is smaller than the sum of its proper divisors (122791836667316).

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

101220021011020 is a wasteful number, since it uses less digits than its factorization.

101220021011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5355991 (or 5355989 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101220021011020 its reverse (20110120022101), we get a palindrome (121330141033121).

The spelling of 101220021011020 in words is "one hundred one trillion, two hundred twenty billion, twenty-one million, eleven thousand, twenty".