100122121001 has 8 divisors (see below), whose sum is σ = 114786246720. Its totient is φ = 85548236688.

The previous prime is 100122120979. The next prime is 100122121007. The reversal of 100122121001 is 100121221001.

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-100122121001 is a prime.

It is a super-2 number, since 2×100122121001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100122121007) 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, 22557971 + ... + 22562408.

It is an arithmetic number, because the mean of its divisors is an integer number (14348280840).

Almost surely, 2^100122121001 is an apocalyptic number.

It is an amenable number.

100122121001 is a deficient number, since it is larger than the sum of its proper divisors (14664125719).

100122121001 is an equidigital number, since it uses as much as digits as its factorization.

100122121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45120703.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100122121001 its reverse (100121221001), we get a palindrome (200243342002).

The spelling of 100122121001 in words is "one hundred billion, one hundred twenty-two million, one hundred twenty-one thousand, one".