100122112120101 has 16 divisors (see below), whose sum is σ = 140021263190784. Its totient is φ = 63562283941824.

The previous prime is 100122112120073. The next prime is 100122112120181. The reversal of 100122112120101 is 101021211221001.

It is a happy number.

It is not a de Polignac number, because 100122112120101 - 2⁷ = 100122112119973 is a prime.

It is a super-2 number, since 2×100122112120101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122112120181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9595750210 + ... + 9595760643.

It is an arithmetic number, because the mean of its divisors is an integer number (8751328949424).

Almost surely, 2^{100122112120101} is an apocalyptic number.

It is an amenable number.

100122112120101 is a deficient number, since it is larger than the sum of its proper divisors (39899151070683).

100122112120101 is a wasteful number, since it uses less digits than its factorization.

100122112120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19191510940.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100122112120101 its reverse (101021211221001), we get a palindrome (201143323341102).

The spelling of 100122112120101 in words is "one hundred trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twenty thousand, one hundred one".