101122100022220 has 48 divisors (see below), whose sum is σ = 212421552436800. Its totient is φ = 40436433570816.

The previous prime is 101122100022199. The next prime is 101122100022233. The reversal of 101122100022220 is 22220001221101.

It is a happy number.

It is a super-2 number, since 2×101122100022220² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101122100022194 and 101122100022203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1194562456 + ... + 1194647104.

It is an arithmetic number, because the mean of its divisors is an integer number (4425449009100).

Almost surely, 2^{101122100022220} is an apocalyptic number.

101122100022220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122100022220 is an abundant number, since it is smaller than the sum of its proper divisors (111299452414580).

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

101122100022220 is a wasteful number, since it uses less digits than its factorization.

101122100022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102274 (or 102272 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101122100022220 its reverse (22220001221101), we get a palindrome (123342101243321).

The spelling of 101122100022220 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred million, twenty-two thousand, two hundred twenty".