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101000101000001 = 7418327117219091
BaseRepresentation
bin10110111101101111101011…
…001001000111001101000001
3111020121111220200210021201112
4112331233223021013031001
5101214241201324000001
6554450450022013105
730163005441320030
oct2675575311071501
9436544820707645
10101000101000001
112a1aa9a1a46945
12b3b25b5577195
1344483653154a8
141ad260682a717
15ba239ed36cbb
hex5bdbeb247341

101000101000001 has 64 divisors (see below), whose sum is σ = 120193239785472. Its totient is φ = 83077073280000.

The previous prime is 101000100999991. The next prime is 101000101000049. The reversal of 101000101000001 is 100000101000101.

It is not a de Polignac number, because 101000101000001 - 218 = 101000100737857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101000101000081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11109895466 + ... + 11109904556.

It is an arithmetic number, because the mean of its divisors is an integer number (1878019371648).

Almost surely, 2101000101000001 is an apocalyptic number.

It is an amenable number.

101000101000001 is a deficient number, since it is larger than the sum of its proper divisors (19193138785471).

101000101000001 is a wasteful number, since it uses less digits than its factorization.

101000101000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11214.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 101000101000001 its reverse (100000101000101), we get a palindrome (201000202000102).

The spelling of 101000101000001 in words is "one hundred one trillion, one hundred one million, one", and thus it is an aban number.

Divisors: 1 7 41 83 271 287 581 1721 1897 3403 9091 11111 12047 22493 23821 63637 70561 77777 142843 157451 372731 466391 493927 754553 922213 999901 2463661 2609117 3264737 5281871 5856563 6455491 15645611 17245627 19122031 30936673 38710453 40995941 101010101 109519277 133854217 204483863 216556711 270973171 641470051 707070707 1298585713 1431387041 1587128573 4239960581 4490290357 8383838383 9090099991 11109900011 29679724067 53242014233 58686868681 173838383821 351916728223 372694099631 1216868686747 2463417097561 14428585857143 101000101000001