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102122210102022 = 23211515768737889
BaseRepresentation
bin10111001110000100101110…
…000011101000101100000110
3111101120210021102000210202200
4113032010232003220230012
5101341132241241231042
61001110143510215330
730340041365314665
oct2716045603505406
9441523242023680
10102122210102022
112a5a2871311480
12b553b75654546
1344ca110722146
141b30a54354ddc
15bc16767b7c4c
hex5ce12e0e8b06

102122210102022 has 24 divisors (see below), whose sum is σ = 241379769332520. Its totient is φ = 30946124273280.

The previous prime is 102122210102021. The next prime is 102122210102023. The reversal of 102122210102022 is 220201012221201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102122210102021) and next prime (102122210102023).

It is a super-2 number, since 2×1021222101020222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102122210101986 and 102122210102004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122210102021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257884368747 + ... + 257884369142.

It is an arithmetic number, because the mean of its divisors is an integer number (10057490388855).

Almost surely, 2102122210102022 is an apocalyptic number.

102122210102022 is an abundant number, since it is smaller than the sum of its proper divisors (139257559230498).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102122210102022 is a wasteful number, since it uses less digits than its factorization.

102122210102022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515768737908 (or 515768737905 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102122210102022 its reverse (220201012221201), we get a palindrome (322323222323223).

The spelling of 102122210102022 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred ten million, one hundred two thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 515768737889 1031537475778 1547306213667 3094612427334 4641918641001 5673456116779 9283837282002 11346912233558 17020368350337 34040736700674 51061105051011 102122210102022