100222031120 has 40 divisors (see below), whose sum is σ = 233128155480. Its totient is φ = 40069555200.

The previous prime is 100222031111. The next prime is 100222031167. The reversal of 100222031120 is 21130222001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 61390963984 + 38831067136 = 247772^2 + 197056^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 100222031095 and 100222031104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132731 + ... + 466970.

It is an arithmetic number, because the mean of its divisors is an integer number (5828203887).

Almost surely, 2^100222031120 is an apocalyptic number.

100222031120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222031120 is an abundant number, since it is smaller than the sum of its proper divisors (132906124360).

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

100222031120 is a wasteful number, since it uses less digits than its factorization.

100222031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601803 (or 601797 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 100222031120 its reverse (21130222001), we get a palindrome (121352253121).

The spelling of 100222031120 in words is "one hundred billion, two hundred twenty-two million, thirty-one thousand, one hundred twenty".