101011121220 has 96 divisors (see below), whose sum is σ = 304377768576. Its totient is φ = 24936192000.

The previous prime is 101011121209. The next prime is 101011121227. The reversal of 101011121220 is 22121110101.

It is a super-2 number, since 2×101011121220² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101011121196 and 101011121205.

It is not an unprimeable number, because it can be changed into a prime (101011121227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 749506 + ... + 873945.

It is an arithmetic number, because the mean of its divisors is an integer number (3170601756).

Almost surely, 2^101011121220 is an apocalyptic number.

101011121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011121220 is an abundant number, since it is smaller than the sum of its proper divisors (203366647356).

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

101011121220 is a wasteful number, since it uses less digits than its factorization.

101011121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623541 (or 1623539 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101011121220 its reverse (22121110101), we get a palindrome (123132231321).

The spelling of 101011121220 in words is "one hundred one billion, eleven million, one hundred twenty-one thousand, two hundred twenty".