101011221121100 has 72 divisors (see below), whose sum is σ = 227927661800160. Its totient is φ = 38809099284480.

The previous prime is 101011221121093. The next prime is 101011221121147. The reversal of 101011221121100 is 1121122110101.

It is a super-3 number, since 3×101011221121100³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89677232 + ... + 90796631.

Almost surely, 2^{101011221121100} is an apocalyptic number.

101011221121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011221121100 is an abundant number, since it is smaller than the sum of its proper divisors (126916440679060).

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

101011221121100 is a wasteful number, since it uses less digits than its factorization.

101011221121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180474099 (or 180474092 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101011221121100 its reverse (1121122110101), we get a palindrome (102132343231201).

The spelling of 101011221121100 in words is "one hundred one trillion, eleven billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred".