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10100121222021 = 3431231417715227
BaseRepresentation
bin1001001011111001111000…
…1000110011101110000101
31022202120011210222022102120
42102332132020303232011
52310440022013101041
633251533122200153
72061465263603625
oct222763610635605
938676153868376
1010100121222021
11324448a136006
12117157a1b3059
1358358bacc16c
1426cbc4306885
15127ad9b25366
hex92f9e233b85

10100121222021 has 32 divisors (see below), whose sum is σ = 13795412133888. Its totient is φ = 6569475736320.

The previous prime is 10100121222001. The next prime is 10100121222041. The reversal of 10100121222021 is 12022212100101.

It is an interprime number because it is at equal distance from previous prime (10100121222001) and next prime (10100121222041).

It is not a de Polignac number, because 10100121222021 - 217 = 10100121090949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100121222001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 663295810 + ... + 663311036.

It is an arithmetic number, because the mean of its divisors is an integer number (431106629184).

Almost surely, 210100121222021 is an apocalyptic number.

It is an amenable number.

10100121222021 is a deficient number, since it is larger than the sum of its proper divisors (3695290911867).

10100121222021 is a wasteful number, since it uses less digits than its factorization.

10100121222021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20681.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10100121222021 its reverse (12022212100101), we get a palindrome (22122333322122).

It can be divided in two parts, 10100 and 121222021, that added together give a palindrome (121232121).

The spelling of 10100121222021 in words is "ten trillion, one hundred billion, one hundred twenty-one million, two hundred twenty-two thousand, twenty-one".

Divisors: 1 3 43 129 1231 3693 4177 12531 15227 45681 52933 158799 179611 538833 654761 1964283 5141887 15425661 18744437 56233311 63603179 190809537 221101141 663303423 806010791 2418032373 2734936697 8204810091 78295513349 234886540047 3366707074007 10100121222021