1000101233100 has 432 divisors, whose sum is σ = 3197029821440. Its totient is φ = 241071206400.

The previous prime is 1000101233099. The next prime is 1000101233143. The reversal of 1000101233100 is 13321010001.

It is a super-2 number, since 2×1000101233100² (a number of 25 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 373588962 + ... + 373591638.

Almost surely, 2^{1000101233100} is an apocalyptic number.

1000101233100 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 1000101233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598514910720).

1000101233100 is an abundant number, since it is smaller than the sum of its proper divisors (2196928588340).

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

1000101233100 is a wasteful number, since it uses less digits than its factorization.

1000101233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2898 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1000101233100 its reverse (13321010001), we get a palindrome (1013422243101).

The spelling of 1000101233100 in words is "one trillion, one hundred one million, two hundred thirty-three thousand, one hundred".