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10120100110122 = 2323313286971971
BaseRepresentation
bin1001001101000100010011…
…1110001101111100101010
31022211110202011202222121010
42103101010332031330222
52311301431112010442
633305035415124350
72063103341421042
oct223210476157452
938743664688533
1010120100110122
113251a01755382
1211754150736b6
13585423cc4542
1426db5b894722
151283a8ac0b9c
hex93444f8df2a

10120100110122 has 64 divisors (see below), whose sum is σ = 21802472202240. Its totient is φ = 3122473147200.

The previous prime is 10120100110103. The next prime is 10120100110139. The reversal of 10120100110122 is 22101100102101.

10120100110122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10120100110098 and 10120100110107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140577597 + ... + 140649567.

It is an arithmetic number, because the mean of its divisors is an integer number (340663628160).

Almost surely, 210120100110122 is an apocalyptic number.

10120100110122 is an abundant number, since it is smaller than the sum of its proper divisors (11682372092118).

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

10120100110122 is a wasteful number, since it uses less digits than its factorization.

10120100110122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104899.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10120100110122 its reverse (22101100102101), we get a palindrome (32221200212223).

The spelling of 10120100110122 in words is "ten trillion, one hundred twenty billion, one hundred million, one hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 23 31 46 62 69 93 138 186 713 1426 2139 4278 32869 65738 71971 98607 143942 197214 215913 431826 755987 1018939 1511974 1655333 2037878 2231101 2267961 3056817 3310666 4462202 4535922 4965999 6113634 6693303 9931998 13386606 23435597 46871194 51315323 70306791 102630646 140613582 153945969 307891938 2365614799 4731229598 7096844397 14193688794 54409140377 73334058769 108818280754 146668117538 163227421131 220002176307 326454842262 440004352614 1686683351687 3373366703374 5060050055061 10120100110122