101010001010100 has 576 divisors, whose sum is σ = 391151505701376. Its totient is φ = 19516232171520.

The previous prime is 101010001010099. The next prime is 101010001010167. The reversal of 101010001010100 is 1010100010101.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14230524 + ... + 20112876.

It is an arithmetic number, because the mean of its divisors is an integer number (679082475176).

Almost surely, 2^{101010001010100} is an apocalyptic number.

101010001010100 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 101010001010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195575752850688).

101010001010100 is an abundant number, since it is smaller than the sum of its proper divisors (290141504691276).

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

101010001010100 is a wasteful number, since it uses less digits than its factorization.

101010001010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882444 (or 5882437 counting only the distinct ones).

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

Adding to 101010001010100 its reverse (1010100010101), we get a palindrome (102020101020201).

Subtracting from 101010001010100 its reverse (1010100010101), we obtain a palindrome (99999900999999).

101010001010100 divided by its reverse (1010100010101) gives a square (100 = 10²).

The spelling of 101010001010100 in words is "one hundred one trillion, ten billion, one million, ten thousand, one hundred".