10100102212111 has 8 divisors (see below), whose sum is σ = 10105984732448. Its totient is φ = 10094220000000.

The previous prime is 10100102212063. The next prime is 10100102212121. The reversal of 10100102212111 is 11121220100101.

It is a happy number.

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 10100102212111 - 2⁴¹ = 7901078956559 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100102212091 and 10100102212100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100102212121) 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, 112177111 + ... + 112267111.

It is an arithmetic number, because the mean of its divisors is an integer number (1263248091556).

Almost surely, 2^{10100102212111} is an apocalyptic number.

10100102212111 is a deficient number, since it is larger than the sum of its proper divisors (5882520337).

10100102212111 is an equidigital number, since it uses as much as digits as its factorization.

10100102212111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154113.

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

Adding to 10100102212111 its reverse (11121220100101), we get a palindrome (21221322312212).

The spelling of 10100102212111 in words is "ten trillion, one hundred billion, one hundred two million, two hundred twelve thousand, one hundred eleven".