101002120011220 has 12 divisors (see below), whose sum is σ = 212104452023604. Its totient is φ = 40400848004480.

The previous prime is 101002120011127. The next prime is 101002120011223. The reversal of 101002120011220 is 22110021200101.

It can be written as a sum of positive squares in 2 ways, for example, as 10267846105104 + 90734273906116 = 3204348^2 + 9525454^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101002120011220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002120011223) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2525053000261 + ... + 2525053000300.

It is an arithmetic number, because the mean of its divisors is an integer number (17675371001967).

Almost surely, 2^{101002120011220} is an apocalyptic number.

101002120011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002120011220 is an abundant number, since it is smaller than the sum of its proper divisors (111102332012384).

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

101002120011220 is a wasteful number, since it uses less digits than its factorization.

101002120011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050106000570 (or 5050106000568 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101002120011220 its reverse (22110021200101), we get a palindrome (123112141211321).

The spelling of 101002120011220 in words is "one hundred one trillion, two billion, one hundred twenty million, eleven thousand, two hundred twenty".