1000201012101 has 24 divisors (see below), whose sum is σ = 1529926242624. Its totient is φ = 627492163200.

The previous prime is 1000201012003. The next prime is 1000201012159. The reversal of 1000201012101 is 1012101020001.

It is a happy number.

It is not a de Polignac number, because 1000201012101 - 2³¹ = 998053528453 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000201022101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 701320 + ... + 1578686.

It is an arithmetic number, because the mean of its divisors is an integer number (63746926776).

Almost surely, 2^{1000201012101} is an apocalyptic number.

It is an amenable number.

1000201012101 is a deficient number, since it is larger than the sum of its proper divisors (529725230523).

1000201012101 is a wasteful number, since it uses less digits than its factorization.

1000201012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884841 (or 884838 counting only the distinct ones).

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

Adding to 1000201012101 its reverse (1012101020001), we get a palindrome (2012302032102).

The spelling of 1000201012101 in words is "one trillion, two hundred one million, twelve thousand, one hundred one".