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101001210211011 = 3115582354827629
BaseRepresentation
bin10110111101110000101101…
…010000011010101011000011
3111020121121202222222001011210
4112331300231100122223003
5101214300434303223021
6554451152044141203
730163045100415255
oct2675605520325303
9436547688861153
10101001210211011
112a200411082560
12b3b2864b37803
1344484b106c876
141ad26adc85cd5
15ba24173dbe76
hex5bdc2d41aac3

101001210211011 has 16 divisors (see below), whose sum is σ = 146913485621760. Its totient is φ = 61211757004320.

The previous prime is 101001210210991. The next prime is 101001210211021. The reversal of 101001210211011 is 110112012100101.

101001210211011 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 101001210211011 - 26 = 101001210210947 is a prime.

It is a super-2 number, since 2×1010012102110112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101001210211021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25571656 + ... + 29255973.

It is an arithmetic number, because the mean of its divisors is an integer number (9182092851360).

Almost surely, 2101001210211011 is an apocalyptic number.

101001210211011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101001210211011 is a deficient number, since it is larger than the sum of its proper divisors (45912275410749).

101001210211011 is a wasteful number, since it uses less digits than its factorization.

101001210211011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54883466.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101001210211011 its reverse (110112012100101), we get a palindrome (211113222311112).

The spelling of 101001210211011 in words is "one hundred one trillion, one billion, two hundred ten million, two hundred eleven thousand, eleven".

Divisors: 1 3 11 33 55823 167469 614053 1842159 54827629 164482887 603103919 1809311757 3060642733667 9181928201001 33667070070337 101001210211011