100122101010101 has 8 divisors (see below), whose sum is σ = 102564636048000. Its totient is φ = 97679591332960.

The previous prime is 100122101010077. The next prime is 100122101010119. The reversal of 100122101010101 is 101010101221001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100122101010101 is a prime.

It is a super-2 number, since 2×100122101010101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

100122101010101 is a modest number, since divided by 1010101 gives 1001221 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122101010131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1777190 + ... + 14261928.

It is an arithmetic number, because the mean of its divisors is an integer number (12820579506000).

Almost surely, 2^{100122101010101} is an apocalyptic number.

It is an amenable number.

100122101010101 is a deficient number, since it is larger than the sum of its proper divisors (2442535037899).

100122101010101 is a wasteful number, since it uses less digits than its factorization.

100122101010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12680379.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100122101010101 its reverse (101010101221001), we get a palindrome (201132202231102).

The spelling of 100122101010101 in words is "one hundred trillion, one hundred twenty-two billion, one hundred one million, ten thousand, one hundred one".