100221221122000 has 80 divisors (see below), whose sum is σ = 264365359337664. Its totient is φ = 36444080400000.

The previous prime is 100221221121949. The next prime is 100221221122031. The reversal of 100221221122000 is 221122122001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2277733026 + ... + 2277777025.

Almost surely, 2^{100221221122000} is an apocalyptic number.

100221221122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221221122000 is an abundant number, since it is smaller than the sum of its proper divisors (164144138215664).

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

100221221122000 is a wasteful number, since it uses less digits than its factorization.

100221221122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4555510085 (or 4555510069 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100221221122000 its reverse (221122122001), we get a palindrome (100442343244001).

The spelling of 100221221122000 in words is "one hundred trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred twenty-two thousand".