101011202001 has 24 divisors (see below), whose sum is σ = 150628418304. Its totient is φ = 65161277280.

The previous prime is 101011201981. The next prime is 101011202023. The reversal of 101011202001 is 100202110101.

It is a happy number.

It is not a de Polignac number, because 101011202001 - 2⁶ = 101011201937 is a prime.

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 (101011202041) 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, 3780250 + ... + 3806876.

It is an arithmetic number, because the mean of its divisors is an integer number (6276184096).

Almost surely, 2^101011202001 is an apocalyptic number.

It is an amenable number.

101011202001 is a deficient number, since it is larger than the sum of its proper divisors (49617216303).

101011202001 is a wasteful number, since it uses less digits than its factorization.

101011202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40261 (or 40258 counting only the distinct ones).

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

Adding to 101011202001 its reverse (100202110101), we get a palindrome (201213312102).

It can be divided in two parts, 1010 and 11202001, that added together give a triangular number (11203011 = T₄₇₃₃).

The spelling of 101011202001 in words is "one hundred one billion, eleven million, two hundred two thousand, one".