10100101111100 has 432 divisors, whose sum is σ = 29882353406976. Its totient is φ = 2877114240000.

The previous prime is 10100101111049. The next prime is 10100101111103. The reversal of 10100101111100 is 111110100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100101111103) 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, 131392877 + ... + 131469723.

It is an arithmetic number, because the mean of its divisors is an integer number (69172114368).

Almost surely, 2^{10100101111100} is an apocalyptic number.

10100101111100 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 10100101111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14941176703488).

10100101111100 is an abundant number, since it is smaller than the sum of its proper divisors (19782252295876).

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

10100101111100 is a wasteful number, since it uses less digits than its factorization.

10100101111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77006 (or 76986 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10100101111100 its reverse (111110100101), we get a palindrome (10211211211201).

It can be divided in two parts, 10100101 and 111100, that added together give a palindrome (10211201).

The spelling of 10100101111100 in words is "ten trillion, one hundred billion, one hundred one million, one hundred eleven thousand, one hundred".