10102011020111 has 8 divisors (see below), whose sum is σ = 10215579675600. Its totient is φ = 9988443762880.

The previous prime is 10102011020071. The next prime is 10102011020119. The reversal of 10102011020111 is 11102011020101.

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 10102011020111 - 2²⁶ = 10101943911247 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102011020092 and 10102011020101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102011020119) 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, 22604456 + ... + 23047026.

It is an arithmetic number, because the mean of its divisors is an integer number (1276947459450).

Almost surely, 2^{10102011020111} is an apocalyptic number.

10102011020111 is a deficient number, since it is larger than the sum of its proper divisors (113568655489).

10102011020111 is an equidigital number, since it uses as much as digits as its factorization.

10102011020111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699129.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10102011020111 its reverse (11102011020101), we get a palindrome (21204022040212).

The spelling of 10102011020111 in words is "ten trillion, one hundred two billion, eleven million, twenty thousand, one hundred eleven".