102111100021003 has 2 divisors, whose sum is σ = 102111100021004. Its totient is φ = 102111100021002.

The previous prime is 102111100020931. The next prime is 102111100021027. The reversal of 102111100021003 is 300120001111201.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102111100021003 is a prime.

It is a super-2 number, since 2×102111100021003² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102111100021033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51055550010501 + 51055550010502.

It is an arithmetic number, because the mean of its divisors is an integer number (51055550010502).

Almost surely, 2^{102111100021003} is an apocalyptic number.

102111100021003 is a deficient number, since it is larger than the sum of its proper divisors (1).

102111100021003 is an equidigital number, since it uses as much as digits as its factorization.

102111100021003 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 102111100021003 its reverse (300120001111201), we get a palindrome (402231101132204).

The spelling of 102111100021003 in words is "one hundred two trillion, one hundred eleven billion, one hundred million, twenty-one thousand, three".