1011112002121 has 8 divisors (see below), whose sum is σ = 1089775862280. Its totient is φ = 932574715392.

The previous prime is 1011112002083. The next prime is 1011112002127. The reversal of 1011112002121 is 1212002111101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 466401580096 + 544710422025 = 682936^2 + 738045^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1011112002121 - 2³³ = 1002522067529 is a prime.

It is a super-4 number, since 4×1011112002121⁴ (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1011112002127) 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, 31626760 + ... + 31658713.

It is an arithmetic number, because the mean of its divisors is an integer number (136221982785).

Almost surely, 2^{1011112002121} is an apocalyptic number.

It is an amenable number.

1011112002121 is a deficient number, since it is larger than the sum of its proper divisors (78663860159).

1011112002121 is a wasteful number, since it uses less digits than its factorization.

1011112002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63286715.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1011112002121 its reverse (1212002111101), we get a palindrome (2223114113222).

The spelling of 1011112002121 in words is "one trillion, eleven billion, one hundred twelve million, two thousand, one hundred twenty-one".