100120022022000 has 160 divisors (see below), whose sum is σ = 325643474894400. Its totient is φ = 26462400921600.

The previous prime is 100120022021963. The next prime is 100120022022011. The reversal of 100120022022000 is 220220021001.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73156825 + ... + 74512824.

It is an arithmetic number, because the mean of its divisors is an integer number (2035271718090).

Almost surely, 2^{100120022022000} is an apocalyptic number.

100120022022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120022022000 is an abundant number, since it is smaller than the sum of its proper divisors (225523452872400).

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

100120022022000 is a wasteful number, since it uses less digits than its factorization.

100120022022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147669788 (or 147669772 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100120022022000 its reverse (220220021001), we get a palindrome (100340242043001).

The spelling of 100120022022000 in words is "one hundred trillion, one hundred twenty billion, twenty-two million, twenty-two thousand".