1000100201121 has 24 divisors (see below), whose sum is σ = 1651002185664. Its totient is φ = 571470901920.

The previous prime is 1000100201119. The next prime is 1000100201123. The reversal of 1000100201121 is 1211020010001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1000100201119) and next prime (1000100201123).

It is not a de Polignac number, because 1000100201121 - 2¹ = 1000100201119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1000100201123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2502666 + ... + 2874636.

It is an arithmetic number, because the mean of its divisors is an integer number (68791757736).

Almost surely, 2^{1000100201121} is an apocalyptic number.

It is an amenable number.

1000100201121 is a deficient number, since it is larger than the sum of its proper divisors (650901984543).

1000100201121 is a wasteful number, since it uses less digits than its factorization.

1000100201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414661 (or 414658 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1000100201121 its reverse (1211020010001), we get a palindrome (2211120211122).

The spelling of 1000100201121 in words is "one trillion, one hundred million, two hundred one thousand, one hundred twenty-one".