100121132213003 has 16 divisors (see below), whose sum is σ = 110226858635520. Its totient is φ = 90182733328800.

The previous prime is 100121132212979. The next prime is 100121132213009. The reversal of 100121132213003 is 300312231121001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100121132213003 - 2²⁰ = 100121131164427 is a prime.

It is a super-2 number, since 2×100121132213003² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100121132213009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78413168 + ... + 79679778.

It is an arithmetic number, because the mean of its divisors is an integer number (6889178664720).

Almost surely, 2^{100121132213003} is an apocalyptic number.

100121132213003 is a deficient number, since it is larger than the sum of its proper divisors (10105726422517).

100121132213003 is a wasteful number, since it uses less digits than its factorization.

100121132213003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332658.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 100121132213003 its reverse (300312231121001), we get a palindrome (400433363334004).

The spelling of 100121132213003 in words is "one hundred trillion, one hundred twenty-one billion, one hundred thirty-two million, two hundred thirteen thousand, three".