100001022121 has 96 divisors (see below), whose sum is σ = 141558939648. Its totient is φ = 68213819520.

The previous prime is 100001022119. The next prime is 100001022131. The reversal of 100001022121 is 121220100001.

It is not a de Polignac number, because 100001022121 - 2¹ = 100001022119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100001022098 and 100001022107.

It is not an unprimeable number, because it can be changed into a prime (100001022131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67249440 + ... + 67250926.

It is an arithmetic number, because the mean of its divisors is an integer number (1474572288).

Almost surely, 2^100001022121 is an apocalyptic number.

100001022121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100001022121 is a deficient number, since it is larger than the sum of its proper divisors (41557917527).

100001022121 is a wasteful number, since it uses less digits than its factorization.

100001022121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100001022121 its reverse (121220100001), we get a palindrome (221221122122).

It can be divided in two parts, 10000 and 1022121, that multiplied together give a square (10221210000 = 101100²).

The spelling of 100001022121 in words is "one hundred billion, one million, twenty-two thousand, one hundred twenty-one".