101011011101220 has 192 divisors, whose sum is σ = 319300671900672. Its totient is φ = 23643816768000.

The previous prime is 101011011101207. The next prime is 101011011101227. The reversal of 101011011101220 is 22101110110101.

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 = 101011011101196 and 101011011101205.

It is not an unprimeable number, because it can be changed into a prime (101011011101227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12588786 + ... + 18986825.

It is an arithmetic number, because the mean of its divisors is an integer number (1663024332816).

Almost surely, 2^{101011011101220} is an apocalyptic number.

101011011101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011011101220 is an abundant number, since it is smaller than the sum of its proper divisors (218289660799452).

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

101011011101220 is a wasteful number, since it uses less digits than its factorization.

101011011101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31575802 (or 31575800 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101011011101220 its reverse (22101110110101), we get a palindrome (123112121211321).

The spelling of 101011011101220 in words is "one hundred one trillion, eleven billion, eleven million, one hundred one thousand, two hundred twenty".