100011122020 has 48 divisors (see below), whose sum is σ = 217351738800. Its totient is φ = 38609661440.

The previous prime is 100011121993. The next prime is 100011122087. The reversal of 100011122020 is 20221110001.

It can be written as a sum of positive squares in 8 ways, for example, as 2940242176 + 97070879844 = 54224^2 + 311562^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100011121988 and 100011122006.

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, 1487286 + ... + 1553074.

It is an arithmetic number, because the mean of its divisors is an integer number (4528161225).

Almost surely, 2^100011122020 is an apocalyptic number.

100011122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011122020 is an abundant number, since it is smaller than the sum of its proper divisors (117340616780).

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

100011122020 is a wasteful number, since it uses less digits than its factorization.

100011122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68448 (or 68446 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100011122020 its reverse (20221110001), we get a palindrome (120232232021).

The spelling of 100011122020 in words is "one hundred billion, eleven million, one hundred twenty-two thousand, twenty".