101222210001000 has 128 divisors (see below), whose sum is σ = 344523594879360. Its totient is φ = 24538717568000.

The previous prime is 101222210000969. The next prime is 101222210001019. The reversal of 101222210001000 is 100012222101.

101222210001000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1533636849 + ... + 1533702848.

It is an arithmetic number, because the mean of its divisors is an integer number (2691590584995).

Almost surely, 2^{101222210001000} is an apocalyptic number.

101222210001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101222210001000 is an abundant number, since it is smaller than the sum of its proper divisors (243301384878360).

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

101222210001000 is a wasteful number, since it uses less digits than its factorization.

101222210001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3067339732 (or 3067339718 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101222210001000 its reverse (100012222101), we get a palindrome (101322222223101).

The spelling of 101222210001000 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred ten million, one thousand".