201001101012010 has 384 divisors, whose sum is σ = 430383532930560. Its totient is φ = 67339464192000.

The previous prime is 201001101011969. The next prime is 201001101012071. The reversal of 201001101012010 is 10210101100102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14914373392 + ... + 14914386868.

It is an arithmetic number, because the mean of its divisors is an integer number (1120790450340).

Almost surely, 2^{201001101012010} is an apocalyptic number.

201001101012010 is an abundant number, since it is smaller than the sum of its proper divisors (229382431918550).

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

201001101012010 is a wasteful number, since it uses less digits than its factorization.

201001101012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13794 (or 13781 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 201001101012010 its reverse (10210101100102), we get a palindrome (211211202112112).

The spelling of 201001101012010 in words is "two hundred one trillion, one billion, one hundred one million, twelve thousand, ten".