1010122101000 has 96 divisors (see below), whose sum is σ = 3414212731800. Its totient is φ = 269365891200.

The previous prime is 1010122100983. The next prime is 1010122101007. The reversal of 1010122101000 is 1012210101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 221993630244 + 788128470756 = 471162^2 + 887766^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1010122101007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56108895 + ... + 56126894.

Almost surely, 2^{1010122101000} is an apocalyptic number.

1010122101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010122101000 is an abundant number, since it is smaller than the sum of its proper divisors (2404090630800).

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

1010122101000 is a wasteful number, since it uses less digits than its factorization.

1010122101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112235816 (or 112235799 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1010122101000 its reverse (1012210101), we get a palindrome (1011134311101).

The spelling of 1010122101000 in words is "one trillion, ten billion, one hundred twenty-two million, one hundred one thousand".