10102111100211 has 32 divisors (see below), whose sum is σ = 14643635424768. Its totient is φ = 6157543392000.

The previous prime is 10102111100201. The next prime is 10102111100231. The reversal of 10102111100211 is 11200111120101.

It is not a de Polignac number, because 10102111100211 - 2⁹ = 10102111099699 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10102111100201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24865711 + ... + 25268711.

It is an arithmetic number, because the mean of its divisors is an integer number (457613607024).

Almost surely, 2^{10102111100211} is an apocalyptic number.

10102111100211 is a deficient number, since it is larger than the sum of its proper divisors (4541524324557).

10102111100211 is a wasteful number, since it uses less digits than its factorization.

10102111100211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409131.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10102111100211 its reverse (11200111120101), we get a palindrome (21302222220312).

The spelling of 10102111100211 in words is "ten trillion, one hundred two billion, one hundred eleven million, one hundred thousand, two hundred eleven".