101011001121220 has 12 divisors (see below), whose sum is σ = 212123102354604. Its totient is φ = 40404400448480.

The previous prime is 101011001121209. The next prime is 101011001121223. The reversal of 101011001121220 is 22121100110101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 28125987919236 + 72885013201984 = 5303394^2 + 8537272^2 .

It is a super-2 number, since 2×101011001121220² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101011001121220.

It is not an unprimeable number, because it can be changed into a prime (101011001121223) 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, 2525275028011 + ... + 2525275028050.

It is an arithmetic number, because the mean of its divisors is an integer number (17676925196217).

Almost surely, 2^{101011001121220} is an apocalyptic number.

101011001121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011001121220 is an abundant number, since it is smaller than the sum of its proper divisors (111112101233384).

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

101011001121220 is a wasteful number, since it uses less digits than its factorization.

101011001121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050550056070 (or 5050550056068 counting only the distinct ones).

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

Adding to 101011001121220 its reverse (22121100110101), we get a palindrome (123132101231321).

The spelling of 101011001121220 in words is "one hundred one trillion, eleven billion, one million, one hundred twenty-one thousand, two hundred twenty".