10102021211000 has 128 divisors (see below), whose sum is σ = 24466353912000. Its totient is φ = 3899476672000.

The previous prime is 10102021210997. The next prime is 10102021211003. The reversal of 10102021211000 is 11212020101.

It is an interprime number because it is at equal distance from previous prime (10102021210997) and next prime (10102021211003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102021211003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57302990 + ... + 57479010.

Almost surely, 2^{10102021211000} is an apocalyptic number.

10102021211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102021211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12233176956000).

10102021211000 is an abundant number, since it is smaller than the sum of its proper divisors (14364332701000).

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

10102021211000 is a wasteful number, since it uses less digits than its factorization.

10102021211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178050 (or 178036 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10102021211000 its reverse (11212020101), we get a palindrome (10113233231101).

The spelling of 10102021211000 in words is "ten trillion, one hundred two billion, twenty-one million, two hundred eleven thousand".