100012100001121 has 72 divisors (see below), whose sum is σ = 128439903556608. Its totient is φ = 77590096214400.

The previous prime is 100012100001067. The next prime is 100012100001169. The reversal of 100012100001121 is 121100001210001.

It is not a de Polignac number, because 100012100001121 - 2¹³ = 100012099992929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100012100001098 and 100012100001107.

It is not an unprimeable number, because it can be changed into a prime (100012100001421) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1320759541 + ... + 1320835261.

Almost surely, 2^{100012100001121} is an apocalyptic number.

100012100001121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100012100001121 is a deficient number, since it is larger than the sum of its proper divisors (28427803555487).

100012100001121 is a wasteful number, since it uses less digits than its factorization.

100012100001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76731 (or 76713 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100012100001121 its reverse (121100001210001), we get a palindrome (221112101211122).

The spelling of 100012100001121 in words is "one hundred trillion, twelve billion, one hundred million, one thousand, one hundred twenty-one".