10101001110100 has 72 divisors (see below), whose sum is σ = 21942503589888. Its totient is φ = 4036102012800.

The previous prime is 10101001110071. The next prime is 10101001110121. The reversal of 10101001110100 is 101110010101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 425418829 + ... + 425442571.

It is an arithmetic number, because the mean of its divisors is an integer number (304756994304).

Almost surely, 2^{10101001110100} is an apocalyptic number.

10101001110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101001110100 is an abundant number, since it is smaller than the sum of its proper divisors (11841502479788).

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

10101001110100 is a wasteful number, since it uses less digits than its factorization.

10101001110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28105 (or 28098 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10101001110100 its reverse (101110010101), we get a palindrome (10202111120201).

The spelling of 10101001110100 in words is "ten trillion, one hundred one billion, one million, one hundred ten thousand, one hundred".