101101012101220 has 12 divisors (see below), whose sum is σ = 212312125412604. Its totient is φ = 40440404840480.

The previous prime is 101101012101209. The next prime is 101101012101247. The reversal of 101101012101220 is 22101210101101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 52165055161444 + 48935956939776 = 7222538^2 + 6995424^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101101012101220.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2527525302511 + ... + 2527525302550.

It is an arithmetic number, because the mean of its divisors is an integer number (17692677117717).

Almost surely, 2^{101101012101220} is an apocalyptic number.

101101012101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101012101220 is an abundant number, since it is smaller than the sum of its proper divisors (111211113311384).

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

101101012101220 is a wasteful number, since it uses less digits than its factorization.

101101012101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5055050605070 (or 5055050605068 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101101012101220 its reverse (22101210101101), we get a palindrome (123202222202321).

The spelling of 101101012101220 in words is "one hundred one trillion, one hundred one billion, twelve million, one hundred one thousand, two hundred twenty".