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1012021202101 = 71396716676899
BaseRepresentation
bin11101011101000010010…
…10100000110010110101
310120202012111102202122111
432232201022200302311
5113040104411431401
62052525514331021
7133054554166330
oct16564112406265
93522174382574
101012021202101
11360217648a68
12144177a29a71
1374582944990
1436da6bc3617
151b4d1cc3e51
hexeba12a0cb5

1012021202101 has 32 divisors (see below), whose sum is σ = 1247781427200. Its totient is φ = 799296313536.

The previous prime is 1012021202069. The next prime is 1012021202107.

1012021202101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1012021202101 - 25 = 1012021202069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012021202107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146687550 + ... + 146694448.

It is an arithmetic number, because the mean of its divisors is an integer number (38993169600).

Almost surely, 21012021202101 is an apocalyptic number.

It is an amenable number.

1012021202101 is a deficient number, since it is larger than the sum of its proper divisors (235760225099).

1012021202101 is a wasteful number, since it uses less digits than its factorization.

1012021202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9553.

The product of its (nonzero) digits is 16, while the sum is 13.

The spelling of 1012021202101 in words is "one trillion, twelve billion, twenty-one million, two hundred two thousand, one hundred one".

Divisors: 1 7 13 91 967 1667 6769 6899 11669 12571 21671 48293 87997 89687 151697 627809 1611989 6671333 11283923 11500633 20955857 46699331 80504431 86727329 146690999 149508229 607091303 1046557603 11121112111 77847784777 144574457443 1012021202101