10100022003000 has 512 divisors, whose sum is σ = 35498628172800. Its totient is φ = 2656241280000.

The previous prime is 10100022002977. The next prime is 10100022003067. The reversal of 10100022003000 is 30022000101.

It is a happy number.

It is a super-2 number, since 2×10100022003000² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 655795300 + ... + 655810700.

It is an arithmetic number, because the mean of its divisors is an integer number (69333258150).

Almost surely, 2^{10100022003000} is an apocalyptic number.

10100022003000 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 10100022003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17749314086400).

10100022003000 is an abundant number, since it is smaller than the sum of its proper divisors (25398606169800).

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

10100022003000 is a wasteful number, since it uses less digits than its factorization.

10100022003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15765 (or 15745 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10100022003000 its reverse (30022000101), we get a palindrome (10130044003101).

The spelling of 10100022003000 in words is "ten trillion, one hundred billion, twenty-two million, three thousand".