10210001102000 has 160 divisors (see below), whose sum is σ = 28814921441280. Its totient is φ = 3426091334400.

The previous prime is 10210001101997. The next prime is 10210001102003. The reversal of 10210001102000 is 20110001201.

It is an interprime number because it is at equal distance from previous prime (10210001101997) and next prime (10210001102003).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (10210001102003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7100360 + ... + 8416359.

It is an arithmetic number, because the mean of its divisors is an integer number (180093259008).

Almost surely, 2^{10210001102000} is an apocalyptic number.

10210001102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210001102000 is an abundant number, since it is smaller than the sum of its proper divisors (18604920339280).

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

10210001102000 is a wasteful number, since it uses less digits than its factorization.

10210001102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15516796 (or 15516780 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10210001102000 its reverse (20110001201), we get a palindrome (10230111103201).

The spelling of 10210001102000 in words is "ten trillion, two hundred ten billion, one million, one hundred two thousand".