101201122220120 has 128 divisors (see below), whose sum is σ = 246823429305600. Its totient is φ = 37122031005696.

The previous prime is 101201122220113. The next prime is 101201122220147. The reversal of 101201122220120 is 21022221102101.

It is a super-2 number, since 2×101201122220120² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 476589812 + ... + 476802108.

It is an arithmetic number, because the mean of its divisors is an integer number (1928308041450).

Almost surely, 2^{101201122220120} is an apocalyptic number.

101201122220120 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 101201122220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123411714652800).

101201122220120 is an abundant number, since it is smaller than the sum of its proper divisors (145622307085480).

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

101201122220120 is a wasteful number, since it uses less digits than its factorization.

101201122220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218317 (or 218313 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101201122220120 its reverse (21022221102101), we get a palindrome (122223343322221).

The spelling of 101201122220120 in words is "one hundred one trillion, two hundred one billion, one hundred twenty-two million, two hundred twenty thousand, one hundred twenty".