101121222001220 has 48 divisors (see below), whose sum is σ = 213011795833200. Its totient is φ = 40323355286016.

The previous prime is 101121222001211. The next prime is 101121222001259. The reversal of 101121222001220 is 22100222121101.

It can be written as a sum of positive squares in 8 ways, for example, as 10301236878916 + 90819985122304 = 3209554^2 + 9529952^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28867094 + ... + 32179986.

It is an arithmetic number, because the mean of its divisors is an integer number (4437745746525).

Almost surely, 2^{101121222001220} is an apocalyptic number.

101121222001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121222001220 is an abundant number, since it is smaller than the sum of its proper divisors (111890573831980).

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

101121222001220 is a wasteful number, since it uses less digits than its factorization.

101121222001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3317624 (or 3317622 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101121222001220 its reverse (22100222121101), we get a palindrome (123221444122321).

The spelling of 101121222001220 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred twenty-two million, one thousand, two hundred twenty".