10211222022120 has 96 divisors (see below), whose sum is σ = 37927396091520. Its totient is φ = 2333993604480.

The previous prime is 10211222022097. The next prime is 10211222022139. The reversal of 10211222022120 is 2122022211201.

It is a happy number.

10211222022120 is a `hidden beast` number, since 10 + 211 + 2 + 220 + 221 + 2 + 0 = 666.

10211222022120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10211222022093 and 10211222022102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2026033596 + ... + 2026038635.

It is an arithmetic number, because the mean of its divisors is an integer number (395077042620).

Almost surely, 2^{10211222022120} is an apocalyptic number.

10211222022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211222022120 is an abundant number, since it is smaller than the sum of its proper divisors (27716174069400).

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

10211222022120 is a wasteful number, since it uses less digits than its factorization.

10211222022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4052072255 (or 4052072248 counting only the distinct ones).

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

Adding to 10211222022120 its reverse (2122022211201), we get a palindrome (12333244233321).

The spelling of 10211222022120 in words is "ten trillion, two hundred eleven billion, two hundred twenty-two million, twenty-two thousand, one hundred twenty".