10100111001102 has 64 divisors (see below), whose sum is σ = 22817473873920. Its totient is φ = 3310809660000.

The previous prime is 10100111001073. The next prime is 10100111001103. The reversal of 10100111001102 is 20110011100101.

10100111001102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (10100111001103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15327103 + ... + 15972485.

It is an arithmetic number, because the mean of its divisors is an integer number (356523029280).

Almost surely, 2^{10100111001102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100111001102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11408736936960).

10100111001102 is an abundant number, since it is smaller than the sum of its proper divisors (12717362872818).

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

10100111001102 is a wasteful number, since it uses less digits than its factorization.

10100111001102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650206 (or 650200 counting only the distinct ones).

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

Adding to 10100111001102 its reverse (20110011100101), we get a palindrome (30210122101203).

The spelling of 10100111001102 in words is "ten trillion, one hundred billion, one hundred eleven million, one thousand, one hundred two".