1011100121220 has 96 divisors (see below), whose sum is σ = 3235652517888. Its totient is φ = 231099161472.

The previous prime is 1011100121219. The next prime is 1011100121221. The reversal of 1011100121220 is 221210011101.

It is an interprime number because it is at equal distance from previous prime (1011100121219) and next prime (1011100121221).

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 = 1011100121196 and 1011100121205.

It is not an unprimeable number, because it can be changed into a prime (1011100121221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19370797 + ... + 19422923.

It is an arithmetic number, because the mean of its divisors is an integer number (33704713728).

Almost surely, 2^{1011100121220} is an apocalyptic number.

1011100121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011100121220 is an abundant number, since it is smaller than the sum of its proper divisors (2224552396668).

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

1011100121220 is a wasteful number, since it uses less digits than its factorization.

1011100121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98329 (or 98327 counting only the distinct ones).

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

Adding to 1011100121220 its reverse (221210011101), we get a palindrome (1232310132321).

The spelling of 1011100121220 in words is "one trillion, eleven billion, one hundred million, one hundred twenty-one thousand, two hundred twenty".