101220001120 has 96 divisors (see below), whose sum is σ = 287677958400. Its totient is φ = 32877467136.

The previous prime is 101220001109. The next prime is 101220001147. The reversal of 101220001120 is 21100022101.

It is a super-3 number, since 3×101220001120³ (a number of 34 digits) contains 333 as substring.

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 = 101220001097 and 101220001106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2357010 + ... + 2399569.

It is an arithmetic number, because the mean of its divisors is an integer number (2996645400).

Almost surely, 2^101220001120 is an apocalyptic number.

101220001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220001120 is an abundant number, since it is smaller than the sum of its proper divisors (186457957280).

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

101220001120 is a wasteful number, since it uses less digits than its factorization.

101220001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4756620 (or 4756612 counting only the distinct ones).

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

Adding to 101220001120 its reverse (21100022101), we get a palindrome (122320023221).

The spelling of 101220001120 in words is "one hundred one billion, two hundred twenty million, one thousand, one hundred twenty".