101121110222220 has 144 divisors (see below), whose sum is σ = 334633876825248. Its totient is φ = 24513114746880.

The previous prime is 101121110222213. The next prime is 101121110222227. The reversal of 101121110222220 is 22222011121101.

101121110222220 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 211 + 10 + 222 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (101121110222213) and next prime (101121110222227).

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 = 101121110222193 and 101121110222202.

It is not an unprimeable number, because it can be changed into a prime (101121110222227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43693212 + ... + 45949308.

It is an arithmetic number, because the mean of its divisors is an integer number (2323846366842).

Almost surely, 2^{101121110222220} is an apocalyptic number.

101121110222220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121110222220 is an abundant number, since it is smaller than the sum of its proper divisors (233512766603028).

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

101121110222220 is a wasteful number, since it uses less digits than its factorization.

101121110222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278760 (or 2278755 counting only the distinct ones).

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

Adding to 101121110222220 its reverse (22222011121101), we get a palindrome (123343121343321).

The spelling of 101121110222220 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred ten million, two hundred twenty-two thousand, two hundred twenty".