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101002110011 = 1131210519091
BaseRepresentation
bin101111000010000110…
…0011110010000111011
3100122201000021210202022
41132010030132100323
53123323020010021
6114222201425055
710203632525015
oct1360414362073
9318630253668
10101002110011
11399200701a0
12176a949b18b
1396a830814a
144c6219b1b5
1529621d61ab
hex178431e43b

101002110011 has 24 divisors (see below), whose sum is σ = 113973966144. Its totient is φ = 88763850000.

The previous prime is 101002109987. The next prime is 101002110037. The reversal of 101002110011 is 110011200101.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-101002110011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101002110211) 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, 11105576 + ... + 11114666.

It is an arithmetic number, because the mean of its divisors is an integer number (4748915256).

Almost surely, 2101002110011 is an apocalyptic number.

101002110011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101002110011 is a deficient number, since it is larger than the sum of its proper divisors (12971856133).

101002110011 is a wasteful number, since it uses less digits than its factorization.

101002110011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10215 (or 10184 counting only the distinct ones).

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

Adding to 101002110011 its reverse (110011200101), we get a palindrome (211013310112).

The spelling of 101002110011 in words is "one hundred one billion, two million, one hundred ten thousand, eleven".

Divisors: 1 11 31 341 961 1051 9091 10571 11561 32581 100001 281821 358391 1010011 3100031 8736451 9554641 11110121 96100961 105101051 296193871 3258132581 9182010001 101002110011