10100210202000 has 480 divisors, whose sum is σ = 37359947738880. Its totient is φ = 2537826508800.

The previous prime is 10100210201993. The next prime is 10100210202001. The reversal of 10100210202000 is 20201200101.

10100210202000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10100210202000² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10100210202001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27555936 + ... + 27920064.

It is an arithmetic number, because the mean of its divisors is an integer number (77833224456).

Almost surely, 2^{10100210202000} is an apocalyptic number.

10100210202000 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 10100210202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18679973869440).

10100210202000 is an abundant number, since it is smaller than the sum of its proper divisors (27259737536880).

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

10100210202000 is a wasteful number, since it uses less digits than its factorization.

10100210202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364248 (or 364229 counting only the distinct ones).

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

Adding to 10100210202000 its reverse (20201200101), we get a palindrome (10120411402101).

The spelling of 10100210202000 in words is "ten trillion, one hundred billion, two hundred ten million, two hundred two thousand".