100010121112121 has 8 divisors (see below), whose sum is σ = 115519712086944. Its totient is φ = 85570157101120.

The previous prime is 100010121112103. The next prime is 100010121112123. The reversal of 100010121112121 is 121211121010001.

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

It is a cyclic number.

It is not a de Polignac number, because 100010121112121 - 2³⁸ = 99735243205177 is a prime.

It is a super-2 number, since 2×100010121112121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100010121112096 and 100010121112105.

It is not an unprimeable number, because it can be changed into a prime (100010121112123) 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, 267406740755 + ... + 267406741128.

It is an arithmetic number, because the mean of its divisors is an integer number (14439964010868).

Almost surely, 2^{100010121112121} is an apocalyptic number.

100010121112121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100010121112121 is a deficient number, since it is larger than the sum of its proper divisors (15509590974823).

100010121112121 is a wasteful number, since it uses less digits than its factorization.

100010121112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534813481911.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100010121112121 its reverse (121211121010001), we get a palindrome (221221242122122).

The spelling of 100010121112121 in words is "one hundred trillion, ten billion, one hundred twenty-one million, one hundred twelve thousand, one hundred twenty-one".