10100211102 has 96 divisors (see below), whose sum is σ = 23445676800. Its totient is φ = 3133240704.

The previous prime is 10100211101. The next prime is 10100211103. The reversal of 10100211102 is 20111200101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10100211101) and next prime (10100211103).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100211101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5082153 + ... + 5084139.

It is an arithmetic number, because the mean of its divisors is an integer number (244225800).

Almost surely, 2^10100211102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100211102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11722838400).

10100211102 is an abundant number, since it is smaller than the sum of its proper divisors (13345465698).

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

10100211102 is a wasteful number, since it uses less digits than its factorization.

10100211102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270 (or 2267 counting only the distinct ones).

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

Adding to 10100211102 its reverse (20111200101), we get a palindrome (30211411203).

The spelling of 10100211102 in words is "ten billion, one hundred million, two hundred eleven thousand, one hundred two".