10021102002000 has 320 divisors, whose sum is σ = 36773378853120. Its totient is φ = 2607115392000.

The previous prime is 10021102001969. The next prime is 10021102002053. The reversal of 10021102002000 is 20020112001.

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 63 ways as a sum of consecutive naturals, for example, 49122 + ... + 4477121.

It is an arithmetic number, because the mean of its divisors is an integer number (114916808916).

Almost surely, 2^{10021102002000} is an apocalyptic number.

10021102002000 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 10021102002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18386689426560).

10021102002000 is an abundant number, since it is smaller than the sum of its proper divisors (26752276851120).

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

10021102002000 is a wasteful number, since it uses less digits than its factorization.

10021102002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4526316 (or 4526294 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10021102002000 its reverse (20020112001), we get a palindrome (10041122114001).

The spelling of 10021102002000 in words is "ten trillion, twenty-one billion, one hundred two million, two thousand".