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101022000201 = 33191077432477
BaseRepresentation
bin101111000010101100…
…0010110010001001001
3100122202101201022222000
41132011120112101021
53123343113001301
6114224152021213
710204263555633
oct1360530262111
9318671638860
10101022000201
1139930315a71
12176b4091809
1396ac4805a5
144c64a97a53
152963d14786
hex1785616449

101022000201 has 64 divisors (see below), whose sum is σ = 159289804800. Its totient is φ = 63096522048.

The previous prime is 101022000199. The next prime is 101022000203. The reversal of 101022000201 is 102000220101.

It is an interprime number because it is at equal distance from previous prime (101022000199) and next prime (101022000203).

It is not a de Polignac number, because 101022000201 - 21 = 101022000199 is a prime.

It is a super-2 number, since 2×1010220002012 (a number of 23 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 (101022000203) 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, 40782775 + ... + 40785251.

It is an arithmetic number, because the mean of its divisors is an integer number (2488903200).

Almost surely, 2101022000201 is an apocalyptic number.

It is an amenable number.

101022000201 is a deficient number, since it is larger than the sum of its proper divisors (58267804599).

101022000201 is a wasteful number, since it uses less digits than its factorization.

101022000201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3355 (or 3349 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101022000201 its reverse (102000220101), we get a palindrome (203022220302).

The spelling of 101022000201 in words is "one hundred one billion, twenty-two million, two hundred one", and thus it is an aban number.

Divisors: 1 3 9 19 27 57 107 171 321 513 743 963 2033 2229 2477 2889 6099 6687 7431 14117 18297 20061 22293 42351 47063 54891 66879 79501 127053 141189 238503 265039 381159 423567 715509 795117 1270701 1510519 1840411 2146527 2385351 4531557 5035741 5521233 7156053 13594671 15107223 16563699 34967809 40784013 45321669 49691097 104903427 135965007 196923977 314710281 590771931 944130843 1772315793 3741555563 5316947379 11224666689 33674000067 101022000201