101121022222110 has 192 divisors, whose sum is σ = 316891325537280. Its totient is φ = 22069038013440.

The previous prime is 101121022222091. The next prime is 101121022222111. The reversal of 101121022222110 is 11222220121101.

101121022222110 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 210 + 222 + 221 + 10 = 666.

It is a super-2 number, since 2×101121022222110² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121022222111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130229850 + ... + 131004029.

It is an arithmetic number, because the mean of its divisors is an integer number (1650475653840).

Almost surely, 2^{101121022222110} is an apocalyptic number.

101121022222110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101121022222110 is an abundant number, since it is smaller than the sum of its proper divisors (215770303315170).

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

101121022222110 is a wasteful number, since it uses less digits than its factorization.

101121022222110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261233943 (or 261233940 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101121022222110 its reverse (11222220121101), we get a palindrome (112343242343211).

The spelling of 101121022222110 in words is "one hundred one trillion, one hundred twenty-one billion, twenty-two million, two hundred twenty-two thousand, one hundred ten".