10100111101002 has 256 divisors, whose sum is σ = 25367390899200. Its totient is φ = 2994164103168.

The previous prime is 10100111101001. The next prime is 10100111101039. The reversal of 10100111101002 is 20010111100101.

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 (10100111101001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 803055738 + ... + 803068314.

It is an arithmetic number, because the mean of its divisors is an integer number (99091370700).

Almost surely, 2^{10100111101002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100111101002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12683695449600).

10100111101002 is an abundant number, since it is smaller than the sum of its proper divisors (15267279798198).

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

10100111101002 is a wasteful number, since it uses less digits than its factorization.

10100111101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13129 (or 13111 counting only the distinct ones).

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

Adding to 10100111101002 its reverse (20010111100101), we get a palindrome (30110222201103).

Subtracting 10100111101002 from its reverse (20010111100101), we obtain a palindrome (9909999999099).

The spelling of 10100111101002 in words is "ten trillion, one hundred billion, one hundred eleven million, one hundred one thousand, two".