10100201211000 has 384 divisors, whose sum is σ = 37028490932160. Its totient is φ = 2473122816000.

The previous prime is 10100201210951. The next prime is 10100201211059. The reversal of 10100201211000 is 11210200101.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5467947 + ... + 7078053.

Almost surely, 2^{10100201211000} is an apocalyptic number.

10100201211000 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 10100201211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18514245466080).

10100201211000 is an abundant number, since it is smaller than the sum of its proper divisors (26928289721160).

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

10100201211000 is a wasteful number, since it uses less digits than its factorization.

10100201211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610192 (or 1610175 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10100201211000 its reverse (11210200101), we get a palindrome (10111411411101).

The spelling of 10100201211000 in words is "ten trillion, one hundred billion, two hundred one million, two hundred eleven thousand".