101220222210120 has 768 divisors, whose sum is σ = 362246125026240. Its totient is φ = 24361297772544.

The previous prime is 101220222210119. The next prime is 101220222210157. The reversal of 101220222210120 is 21012222022101.

It is a happy number.

101220222210120 is a `hidden beast` number, since 1 + 0 + 1 + 220 + 222 + 210 + 12 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 7138098445284 + 94082123764836 = 2671722^2 + 9699594^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101220222210093 and 101220222210102.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 56961294672 + ... + 56961296448.

Almost surely, 2^{101220222210120} is an apocalyptic number.

101220222210120 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 101220222210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181123062513120).

101220222210120 is an abundant number, since it is smaller than the sum of its proper divisors (261025902816120).

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

101220222210120 is a wasteful number, since it uses less digits than its factorization.

101220222210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3234 (or 3227 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101220222210120 its reverse (21012222022101), we get a palindrome (122232444232221).

The spelling of 101220222210120 in words is "one hundred one trillion, two hundred twenty billion, two hundred twenty-two million, two hundred ten thousand, one hundred twenty".