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10120022020101 = 375635821147047
BaseRepresentation
bin1001001101000100000001…
…0100010101000000000101
31022211110112201211121020010
42103101000110111000011
52311301301114120401
633305023545300433
72063101402601250
oct223210024250005
938743481747203
1010120022020101
113251971669174
1211753b2a94719
13585410a82626
1426db51368097
151283a1ce7ed6
hex93440515005

10120022020101 has 32 divisors (see below), whose sum is σ = 15451135653888. Its totient is φ = 5771567263680.

The previous prime is 10120022020051. The next prime is 10120022020127. The reversal of 10120022020101 is 10102022002101.

It is not a de Polignac number, because 10120022020101 - 27 = 10120022019973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120022021101) 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 31 ways as a sum of consecutive naturals, for example, 68748160 + ... + 68895206.

It is an arithmetic number, because the mean of its divisors is an integer number (482847989184).

Almost surely, 210120022020101 is an apocalyptic number.

It is an amenable number.

10120022020101 is a deficient number, since it is larger than the sum of its proper divisors (5331113633787).

10120022020101 is a wasteful number, since it uses less digits than its factorization.

10120022020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153441.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10120022020101 its reverse (10102022002101), we get a palindrome (20222044022202).

The spelling of 10120022020101 in words is "ten trillion, one hundred twenty billion, twenty-two million, twenty thousand, one hundred one".

Divisors: 1 3 7 21 563 1689 3941 5821 11823 17463 40747 122241 147047 441141 1029329 3087987 3277223 9831669 22940561 68821683 82787461 248362383 579512227 855960587 1738536681 2567881761 5991724109 17975172327 481905810481 1445717431443 3373340673367 10120022020101