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1201012101021 = 389101425910457
BaseRepresentation
bin10001011110100001111…
…001100100111110011101
311020211000121011011120110
4101132201321210332131
5124134133044213041
62315423133240233
7152525125263615
oct21364171447635
94224017134513
101201012101021
1142338a025617
12174920633079
13893411a0b55
14421b4b05a45
15213939ac516
hex117a1e64f9d

1201012101021 has 32 divisors (see below), whose sum is σ = 1635915657600. Its totient is φ = 783581004800.

The previous prime is 1201012100983. The next prime is 1201012101031.

1201012101021 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1201012101021 - 214 = 1201012084637 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1201012100988 and 1201012101006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201012101031) 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, 114847225 + ... + 114857681.

It is an arithmetic number, because the mean of its divisors is an integer number (51122364300).

Almost surely, 21201012101021 is an apocalyptic number.

It is an amenable number.

1201012101021 is a deficient number, since it is larger than the sum of its proper divisors (434903556579).

1201012101021 is a wasteful number, since it uses less digits than its factorization.

1201012101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14909.

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

The spelling of 1201012101021 in words is "one trillion, two hundred one billion, twelve million, one hundred one thousand, twenty-one".

Divisors: 1 3 89 101 267 303 4259 8989 10457 12777 26967 31371 379051 430159 930673 1056157 1137153 1290477 2792019 3168471 38284151 44536363 93997973 114852453 133609089 281993919 3963736307 4498172663 11891208921 13494517989 400337367007 1201012101021