101002112211220 has 24 divisors (see below), whose sum is σ = 231386657066208. Its totient is φ = 36728040804000.

The previous prime is 101002112211193. The next prime is 101002112211227. The reversal of 101002112211220 is 22112211200101.

It is a super-2 number, since 2×101002112211220² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101002112211194 and 101002112211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002112211227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229550254806 + ... + 229550255245.

It is an arithmetic number, because the mean of its divisors is an integer number (9641110711092).

Almost surely, 2^{101002112211220} is an apocalyptic number.

101002112211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002112211220 is an abundant number, since it is smaller than the sum of its proper divisors (130384544854988).

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

101002112211220 is a wasteful number, since it uses less digits than its factorization.

101002112211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459100510071 (or 459100510069 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101002112211220 its reverse (22112211200101), we get a palindrome (123114323411321).

The spelling of 101002112211220 in words is "one hundred one trillion, two billion, one hundred twelve million, two hundred eleven thousand, two hundred twenty".