101210122001000 has 128 divisors (see below), whose sum is σ = 253156247285760. Its totient is φ = 37779387712000.

The previous prime is 101210122000991. The next prime is 101210122001033. The reversal of 101210122001000 is 100221012101.

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, 52720904 + ... + 54606903.

It is an arithmetic number, because the mean of its divisors is an integer number (1977783181920).

Almost surely, 2^{101210122001000} is an apocalyptic number.

101210122001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101210122001000 is an abundant number, since it is smaller than the sum of its proper divisors (151946125284760).

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

101210122001000 is a wasteful number, since it uses less digits than its factorization.

101210122001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107327892 (or 107327878 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101210122001000 its reverse (100221012101), we get a palindrome (101310343013101).

The spelling of 101210122001000 in words is "one hundred one trillion, two hundred ten billion, one hundred twenty-two million, one thousand".