1011010100100 has 1152 divisors, whose sum is σ = 4246861516800. Its totient is φ = 178711142400.

The previous prime is 1011010100077. The next prime is 1011010100101. The reversal of 1011010100100 is 10010101101.

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 (1011010100101) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 211108506 + ... + 211113294.

Almost surely, 2^{1011010100100} is an apocalyptic number.

1011010100100 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 1011010100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123430758400).

1011010100100 is an abundant number, since it is smaller than the sum of its proper divisors (3235851416700).

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

1011010100100 is a wasteful number, since it uses less digits than its factorization.

1011010100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4893 (or 4886 counting only the distinct ones).

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

Adding to 1011010100100 its reverse (10010101101), we get a palindrome (1021020201201).

The spelling of 1011010100100 in words is "one trillion, eleven billion, ten million, one hundred thousand, one hundred".