10101012011001 has 16 divisors (see below), whose sum is σ = 15017340208320. Its totient is φ = 6710212920960.

The previous prime is 10101012010987. The next prime is 10101012011039. The reversal of 10101012011001 is 10011021010101.

It is not a de Polignac number, because 10101012011001 - 2¹⁷ = 10101011879929 is a prime.

It is a super-2 number, since 2×10101012011001² (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 not an unprimeable number, because it can be changed into a prime (10101012011081) 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, 660966840 + ... + 660982121.

It is an arithmetic number, because the mean of its divisors is an integer number (938583763020).

Almost surely, 2^{10101012011001} is an apocalyptic number.

It is an amenable number.

10101012011001 is a deficient number, since it is larger than the sum of its proper divisors (4916328197319).

10101012011001 is a wasteful number, since it uses less digits than its factorization.

10101012011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321949253 (or 1321949247 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10101012011001 its reverse (10011021010101), we get a palindrome (20112033021102).

The spelling of 10101012011001 in words is "ten trillion, one hundred one billion, twelve million, eleven thousand, one".