1012101233000 has 192 divisors, whose sum is σ = 2803441127760. Its totient is φ = 339725760000.

The previous prime is 1012101232979. The next prime is 1012101233009. The reversal of 1012101233000 is 3321012101.

It can be written as a sum of positive squares in 8 ways, for example, as 41170844836 + 970930388164 = 202906^2 + 985358^2 .

It is not an unprimeable number, because it can be changed into a prime (1012101233009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1251290 + ... + 1894710.

Almost surely, 2^{1012101233000} is an apocalyptic number.

1012101233000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012101233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401720563880).

1012101233000 is an abundant number, since it is smaller than the sum of its proper divisors (1791339894760).

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

1012101233000 is a wasteful number, since it uses less digits than its factorization.

1012101233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643477 (or 643452 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1012101233000 its reverse (3321012101), we get a palindrome (1015422245101).

The spelling of 1012101233000 in words is "one trillion, twelve billion, one hundred one million, two hundred thirty-three thousand".