101120002212220 has 96 divisors (see below), whose sum is σ = 218554790952960. Its totient is φ = 39285647170560.

The previous prime is 101120002212209. The next prime is 101120002212227. The reversal of 101120002212220 is 22212200021101.

It is a happy number.

It is a super-3 number, since 3×101120002212220³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101120002212194 and 101120002212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120002212227) by changing a digit.

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, 34716337 + ... + 37516183.

It is an arithmetic number, because the mean of its divisors is an integer number (2276612405760).

Almost surely, 2^{101120002212220} is an apocalyptic number.

101120002212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120002212220 is an abundant number, since it is smaller than the sum of its proper divisors (117434788740740).

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

101120002212220 is a wasteful number, since it uses less digits than its factorization.

101120002212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800283 (or 2800281 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101120002212220 its reverse (22212200021101), we get a palindrome (123332202233321).

The spelling of 101120002212220 in words is "one hundred one trillion, one hundred twenty billion, two million, two hundred twelve thousand, two hundred twenty".