1010102011001 has 16 divisors (see below), whose sum is σ = 1083973036608. Its totient is φ = 937870080000.

The previous prime is 1010102010979. The next prime is 1010102011063. The reversal of 1010102011001 is 1001102010101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1010102011001 - 2¹⁴ = 1010101994617 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1010102011001.

It is not an unprimeable number, because it can be changed into a prime (1010102011091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 457001 + ... + 1493001.

It is an arithmetic number, because the mean of its divisors is an integer number (67748314788).

Almost surely, 2^{1010102011001} is an apocalyptic number.

It is an amenable number.

1010102011001 is a deficient number, since it is larger than the sum of its proper divisors (73871025607).

1010102011001 is a wasteful number, since it uses less digits than its factorization.

1010102011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036792.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1010102011001 its reverse (1001102010101), we get a palindrome (2011204021102).

The spelling of 1010102011001 in words is "one trillion, ten billion, one hundred two million, eleven thousand, one".