100213102023011 has 16 divisors (see below), whose sum is σ = 100848399667200. Its totient is φ = 99579540409440.

The previous prime is 100213102022993. The next prime is 100213102023119. The reversal of 100213102023011 is 110320201312001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100213102023011 is a prime.

It is a super-2 number, since 2×100213102023011² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100213102043011) 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, 1508495966 + ... + 1508562396.

It is an arithmetic number, because the mean of its divisors is an integer number (6303024979200).

Almost surely, 2^{100213102023011} is an apocalyptic number.

100213102023011 is a deficient number, since it is larger than the sum of its proper divisors (635297644189).

100213102023011 is a wasteful number, since it uses less digits than its factorization.

100213102023011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79354.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 100213102023011 its reverse (110320201312001), we get a palindrome (210533303335012).

The spelling of 100213102023011 in words is "one hundred trillion, two hundred thirteen billion, one hundred two million, twenty-three thousand, eleven".