10102210002100 has 18 divisors (see below), whose sum is σ = 21921795704774. Its totient is φ = 4040884000800.

The previous prime is 10102210002097. The next prime is 10102210002103. The reversal of 10102210002100 is 120001220101.

It is an interprime number because it is at equal distance from previous prime (10102210002097) and next prime (10102210002103).

It can be written as a sum of positive squares in 3 ways, for example, as 671340977316 + 9430869024784 = 819354^2 + 3070972^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102210002103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50511049911 + ... + 50511050110.

Almost surely, 2^{10102210002100} is an apocalyptic number.

10102210002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102210002100 is an abundant number, since it is smaller than the sum of its proper divisors (11819585702674).

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

10102210002100 is a wasteful number, since it uses less digits than its factorization.

10102210002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101022100035 (or 101022100028 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10102210002100 its reverse (120001220101), we get a palindrome (10222211222201).

The spelling of 10102210002100 in words is "ten trillion, one hundred two billion, two hundred ten million, two thousand, one hundred".