101110010010100 has 216 divisors, whose sum is σ = 272721467083968. Its totient is φ = 31858675430400.

The previous prime is 101110010010073. The next prime is 101110010010137. The reversal of 101110010010100 is 1010010011101.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24971520 + ... + 28736680.

It is an arithmetic number, because the mean of its divisors is an integer number (1262599384648).

Almost surely, 2^{101110010010100} is an apocalyptic number.

101110010010100 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 101110010010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136360733541984).

101110010010100 is an abundant number, since it is smaller than the sum of its proper divisors (171611457073868).

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

101110010010100 is a wasteful number, since it uses less digits than its factorization.

101110010010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3765435 (or 3765415 counting only the distinct ones).

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

Adding to 101110010010100 its reverse (1010010011101), we get a palindrome (102120020021201).

The spelling of 101110010010100 in words is "one hundred one trillion, one hundred ten billion, ten million, ten thousand, one hundred".