101132123220 has 72 divisors (see below), whose sum is σ = 307496334600. Its totient is φ = 26904487680.

The previous prime is 101132123173. The next prime is 101132123269. The reversal of 101132123220 is 22321231101.

101132123220 is a `hidden beast` number, since 10 + 11 + 321 + 2 + 322 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9675476496 + 91456646724 = 98364^2 + 302418^2 .

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 = 101132123193 and 101132123202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 591495 + ... + 743054.

It is an arithmetic number, because the mean of its divisors is an integer number (4270782425).

Almost surely, 2^101132123220 is an apocalyptic number.

101132123220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101132123220 is an abundant number, since it is smaller than the sum of its proper divisors (206364211380).

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

101132123220 is a wasteful number, since it uses less digits than its factorization.

101132123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334985 (or 1334980 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101132123220 its reverse (22321231101), we get a palindrome (123453354321).

The spelling of 101132123220 in words is "one hundred one billion, one hundred thirty-two million, one hundred twenty-three thousand, two hundred twenty".