10100112112101 has 32 divisors (see below), whose sum is σ = 14779071964800. Its totient is φ = 6084628243200.

The previous prime is 10100112112093. The next prime is 10100112112109. The reversal of 10100112112101 is 10121121100101.

It is an interprime number because it is at equal distance from previous prime (10100112112093) and next prime (10100112112109).

It is not a de Polignac number, because 10100112112101 - 2³ = 10100112112093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100112112109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27569475 + ... + 27933423.

It is an arithmetic number, because the mean of its divisors is an integer number (461845998900).

Almost surely, 2^{10100112112101} is an apocalyptic number.

10100112112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100112112101 is a deficient number, since it is larger than the sum of its proper divisors (4678959852699).

10100112112101 is a wasteful number, since it uses less digits than its factorization.

10100112112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368997.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10100112112101 its reverse (10121121100101), we get a palindrome (20221233212202).

The spelling of 10100112112101 in words is "ten trillion, one hundred billion, one hundred twelve million, one hundred twelve thousand, one hundred one".