100201101110110 has 256 divisors, whose sum is σ = 257384734064640. Its totient is φ = 27046599528960.

The previous prime is 100201101110009. The next prime is 100201101110137. The reversal of 100201101110110 is 11011101102001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17032059 + ... + 22147081.

It is an arithmetic number, because the mean of its divisors is an integer number (1005409117440).

Almost surely, 2^{100201101110110} is an apocalyptic number.

100201101110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100201101110110 is an abundant number, since it is smaller than the sum of its proper divisors (157183632954530).

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

100201101110110 is a wasteful number, since it uses less digits than its factorization.

100201101110110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5115183.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 100201101110110 its reverse (11011101102001), we get a palindrome (111212202212111).

The spelling of 100201101110110 in words is "one hundred trillion, two hundred one billion, one hundred one million, one hundred ten thousand, one hundred ten".