10100100111002 has 16 divisors (see below), whose sum is σ = 16527488197824. Its totient is φ = 4590940248000.

The previous prime is 10100100110993. The next prime is 10100100111029. The reversal of 10100100111002 is 20011100100101.

It is a happy number.

10100100111002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10100100111002³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10120427 + ... + 11073537.

It is an arithmetic number, because the mean of its divisors is an integer number (1032968012364).

Almost surely, 2^{10100100111002} is an apocalyptic number.

10100100111002 is a deficient number, since it is larger than the sum of its proper divisors (6427388086822).

10100100111002 is a wasteful number, since it uses less digits than its factorization.

10100100111002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434805.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10100100111002 its reverse (20011100100101), we get a palindrome (30111200211103).

The spelling of 10100100111002 in words is "ten trillion, one hundred billion, one hundred million, one hundred eleven thousand, two".