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122102101 = 1123487991
BaseRepresentation
bin1110100011100…
…10000101010101
322111202102121001
413101302011111
5222224231401
620041023301
73011564542
oct721620525
9274672531
10122102101
1162a18130
1234a84b31
131c3b1984
1412305bc9
15aabd601
hex7472155

122102101 has 16 divisors (see below), whose sum is σ = 139419648. Its totient is φ = 105850800.

The previous prime is 122102023. The next prime is 122102107. The reversal of 122102101 is 101201221.

It is not a de Polignac number, because 122102101 - 211 = 122100053 is a prime.

It is a super-2 number, since 2×1221021012 = 29817846137228402, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122102107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122716 + ... + 123706.

It is an arithmetic number, because the mean of its divisors is an integer number (8713728).

Almost surely, 2122102101 is an apocalyptic number.

122102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122102101 is a deficient number, since it is larger than the sum of its proper divisors (17317547).

122102101 is a wasteful number, since it uses less digits than its factorization.

122102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 122102101 is about 11049.9819456866. The cubic root of 122102101 is about 496.1058851401.

Adding to 122102101 its reverse (101201221), we get a palindrome (223303322).

The spelling of 122102101 in words is "one hundred twenty-two million, one hundred two thousand, one hundred one".

Divisors: 1 11 23 253 487 991 5357 10901 11201 22793 123211 250723 482617 5308787 11100191 122102101