101220222122120 has 32 divisors (see below), whose sum is σ = 227748550380120. Its totient is φ = 40487546519040.

The previous prime is 101220222122059. The next prime is 101220222122147. The reversal of 101220222122120 is 21221222022101.

It can be written as a sum of positive squares in 4 ways, for example, as 97752887644036 + 3467334478084 = 9887006^2 + 1862078^2 .

It is a super-2 number, since 2×101220222122120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101220222122092 and 101220222122101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13917557 + ... + 19903236.

Almost surely, 2^{101220222122120} is an apocalyptic number.

101220222122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220222122120 is an abundant number, since it is smaller than the sum of its proper divisors (126528328258000).

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

101220222122120 is a wasteful number, since it uses less digits than its factorization.

101220222122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33895625 (or 33895621 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 101220222122120 its reverse (21221222022101), we get a palindrome (122441444144221).

The spelling of 101220222122120 in words is "one hundred one trillion, two hundred twenty billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty".