10010110100100 has 144 divisors (see below), whose sum is σ = 31599117693696. Its totient is φ = 2426419152000.

The previous prime is 10010110100083. The next prime is 10010110100101. The reversal of 10010110100100 is 100101101001.

It is a super-2 number, since 2×10010110100100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (10010110100101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29833467 + ... + 30167133.

Almost surely, 2^{10010110100100} is an apocalyptic number.

10010110100100 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 10010110100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15799558846848).

10010110100100 is an abundant number, since it is smaller than the sum of its proper divisors (21589007593596).

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

10010110100100 is a wasteful number, since it uses less digits than its factorization.

10010110100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342786 (or 342779 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10010110100100 its reverse (100101101001), we get a palindrome (10110211201101).

10010110100100 divided by its reverse (100101101001) gives a square (100 = 10²).

It can be divided in two parts, 100101 and 10100100, that added together give a palindrome (10200201).

The spelling of 10010110100100 in words is "ten trillion, ten billion, one hundred ten million, one hundred thousand, one hundred".