101212211122020 has 144 divisors (see below), whose sum is σ = 315321971306160. Its totient is φ = 26259297942528.

The previous prime is 101212211122003. The next prime is 101212211122051. The reversal of 101212211122020 is 20221112212101.

101212211122020 is a `hidden beast` number, since 1 + 0 + 1 + 212 + 211 + 1 + 220 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 806159762496 + 100406051359524 = 897864^2 + 10020282^2 .

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 = 101212211121984 and 101212211122002.

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, 154805166 + ... + 155457594.

Almost surely, 2^{101212211122020} is an apocalyptic number.

101212211122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212211122020 is an abundant number, since it is smaller than the sum of its proper divisors (214109760184140).

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

101212211122020 is a wasteful number, since it uses less digits than its factorization.

101212211122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675774 (or 675769 counting only the distinct ones).

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

Adding to 101212211122020 its reverse (20221112212101), we get a palindrome (121433323334121).

The spelling of 101212211122020 in words is "one hundred one trillion, two hundred twelve billion, two hundred eleven million, one hundred twenty-two thousand, twenty".