101001110100100 has 108 divisors (see below), whose sum is σ = 254978035059216. Its totient is φ = 34625912892480.

The previous prime is 101001110100091. The next prime is 101001110100103. The reversal of 101001110100100 is 1001011100101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (101001110100103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55289527 + ... + 57087073.

Almost surely, 2^{101001110100100} is an apocalyptic number.

101001110100100 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 101001110100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127489017529608).

101001110100100 is an abundant number, since it is smaller than the sum of its proper divisors (153976924959116).

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

101001110100100 is a wasteful number, since it uses less digits than its factorization.

101001110100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809042 (or 1809028 counting only the distinct ones).

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

Adding to 101001110100100 its reverse (1001011100101), we get a palindrome (102002121200201).

The spelling of 101001110100100 in words is "one hundred one trillion, one billion, one hundred ten million, one hundred thousand, one hundred".