10211100102 has 144 divisors (see below), whose sum is σ = 27512345952. Its totient is φ = 2722325760.

The previous prime is 10211100091. The next prime is 10211100113. The reversal of 10211100102 is 20100111201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10211100091) and next prime (10211100113).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 825588 + ... + 837864.

It is an arithmetic number, because the mean of its divisors is an integer number (191057958).

Almost surely, 2^10211100102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211100102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13756172976).

10211100102 is an abundant number, since it is smaller than the sum of its proper divisors (17301245850).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10211100102 is a wasteful number, since it uses less digits than its factorization.

10211100102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12363 (or 12353 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10211100102 its reverse (20100111201), we get a palindrome (30311211303).

The spelling of 10211100102 in words is "ten billion, two hundred eleven million, one hundred thousand, one hundred two".