101120001002220 has 96 divisors (see below), whose sum is σ = 290917523425536. Its totient is φ = 26224884000000.

The previous prime is 101120001002201. The next prime is 101120001002249. The reversal of 101120001002220 is 22200100021101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101120001002196 and 101120001002205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5120406 + ... + 15114845.

It is an arithmetic number, because the mean of its divisors is an integer number (3030390869016).

Almost surely, 2^{101120001002220} is an apocalyptic number.

101120001002220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120001002220 is an abundant number, since it is smaller than the sum of its proper divisors (189797522423316).

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

101120001002220 is a wasteful number, since it uses less digits than its factorization.

101120001002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20237551 (or 20237549 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101120001002220 its reverse (22200100021101), we get a palindrome (123320101023321).

The spelling of 101120001002220 in words is "one hundred one trillion, one hundred twenty billion, one million, two thousand, two hundred twenty".