1010122102000 has 80 divisors (see below), whose sum is σ = 2664518504544. Its totient is φ = 367317120000.

The previous prime is 1010122101979. The next prime is 1010122102001. The reversal of 1010122102000 is 2012210101.

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 (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010122102001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22935321 + ... + 22979320.

Almost surely, 2^{1010122102000} is an apocalyptic number.

1010122102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010122102000 is an abundant number, since it is smaller than the sum of its proper divisors (1654396402544).

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

1010122102000 is a wasteful number, since it uses less digits than its factorization.

1010122102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45914675 (or 45914659 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1010122102000 its reverse (2012210101), we get a palindrome (1012134312101).

The spelling of 1010122102000 in words is "one trillion, ten billion, one hundred twenty-two million, one hundred two thousand".