101111111010100 has 72 divisors (see below), whose sum is σ = 222160306767840. Its totient is φ = 39940064987520.

The previous prime is 101111111010097. The next prime is 101111111010109. The reversal of 101111111010100 is 1010111111101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111111010109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11512890 + ... + 18296689.

It is an arithmetic number, because the mean of its divisors is an integer number (3085559816220).

Almost surely, 2^{101111111010100} is an apocalyptic number.

101111111010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111111010100 is an abundant number, since it is smaller than the sum of its proper divisors (121049195757740).

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

101111111010100 is a wasteful number, since it uses less digits than its factorization.

101111111010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29810017 (or 29810010 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 101111111010100 its reverse (1010111111101), we get a palindrome (102121222121201).

It can be divided in two parts, 1011 and 11111010100, that added together give a palindrome (11111011111).

The spelling of 101111111010100 in words is "one hundred one trillion, one hundred eleven billion, one hundred eleven million, ten thousand, one hundred".