101112121022020 has 48 divisors (see below), whose sum is σ = 221618412430128. Its totient is φ = 38713890775040.

The previous prime is 101112121021997. The next prime is 101112121022023. The reversal of 101112121022020 is 20220121211101.

It can be written as a sum of positive squares in 8 ways, for example, as 1136799499264 + 99975321522756 = 1066208^2 + 9998766^2 .

It is a super-2 number, since 2×101112121022020² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101112121021985 and 101112121022003.

It is not an unprimeable number, because it can be changed into a prime (101112121022023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1163234509 + ... + 1163321428.

It is an arithmetic number, because the mean of its divisors is an integer number (4617050258961).

Almost surely, 2^{101112121022020} is an apocalyptic number.

101112121022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112121022020 is an abundant number, since it is smaller than the sum of its proper divisors (120506291408108).

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

101112121022020 is a wasteful number, since it uses less digits than its factorization.

101112121022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326556040 (or 2326556038 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101112121022020 its reverse (20220121211101), we get a palindrome (121332242233121).

The spelling of 101112121022020 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty-one million, twenty-two thousand, twenty".