101122210220220 has 144 divisors (see below), whose sum is σ = 350613811154880. Its totient is φ = 23109901959168.

The previous prime is 101122210220189. The next prime is 101122210220233. The reversal of 101122210220220 is 22022012221101.

It is a happy number.

101122210220220 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 2 + 221 + 0 + 220 + 220 = 666.

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 = 101122210220193 and 101122210220202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1277436 + ... + 14278524.

It is an arithmetic number, because the mean of its divisors is an integer number (2434818133020).

Almost surely, 2^{101122210220220} is an apocalyptic number.

101122210220220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122210220220 is an abundant number, since it is smaller than the sum of its proper divisors (249491600934660).

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

101122210220220 is a wasteful number, since it uses less digits than its factorization.

101122210220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13007284 (or 13007279 counting only the distinct ones).

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

Adding to 101122210220220 its reverse (22022012221101), we get a palindrome (123144222441321).

The spelling of 101122210220220 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred ten million, two hundred twenty thousand, two hundred twenty".