100021121122001 has 32 divisors (see below), whose sum is σ = 104676079939200. Its totient is φ = 95493277624320.

The previous prime is 100021121121979. The next prime is 100021121122037. The reversal of 100021121122001 is 100221121120001.

It is a cyclic number.

It is not a de Polignac number, because 100021121122001 - 2¹⁴ = 100021121105617 is a prime.

It is a super-2 number, since 2×100021121122001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100021121122301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 811409510 + ... + 811532768.

It is an arithmetic number, because the mean of its divisors is an integer number (3271127498100).

Almost surely, 2^{100021121122001} is an apocalyptic number.

It is an amenable number.

100021121122001 is a deficient number, since it is larger than the sum of its proper divisors (4654958817199).

100021121122001 is a wasteful number, since it uses less digits than its factorization.

100021121122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125489.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100021121122001 its reverse (100221121120001), we get a palindrome (200242242242002).

The spelling of 100021121122001 in words is "one hundred trillion, twenty-one billion, one hundred twenty-one million, one hundred twenty-two thousand, one".