10100012111100 has 432 divisors, whose sum is σ = 32708116546560. Its totient is φ = 2604905049600.

The previous prime is 10100012111081. The next prime is 10100012111107. The reversal of 10100012111100 is 111121000101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100012111107) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7823401455 + ... + 7823402745.

Almost surely, 2^{10100012111100} is an apocalyptic number.

10100012111100 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 10100012111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16354058273280).

10100012111100 is an abundant number, since it is smaller than the sum of its proper divisors (22608104435460).

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

10100012111100 is a wasteful number, since it uses less digits than its factorization.

10100012111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2570 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10100012111100 its reverse (111121000101), we get a palindrome (10211133111201).

The spelling of 10100012111100 in words is "ten trillion, one hundred billion, twelve million, one hundred eleven thousand, one hundred".