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101202020202101 = 7131419778334163
BaseRepresentation
bin10111000000101011101110…
…011101101111011001110101
3111021022211002210101112120012
4113000223232131233121311
5101231043214132431401
6555123322151150005
730213414255240320
oct2700535635573165
9437284083345505
10101202020202101
112a278599088a85
12b425767975305
13446140412c3c0
141adc2bd7737b7
15ba776ba0d8bb
hex5c0aee76f675

101202020202101 has 16 divisors (see below), whose sum is σ = 124565107572864. Its totient is φ = 80066286990144.

The previous prime is 101202020202077. The next prime is 101202020202103.

101202020202101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101202020202101 - 222 = 101202016007797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101202020202103) 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, 37875155 + ... + 40459008.

It is an arithmetic number, because the mean of its divisors is an integer number (7785319223304).

Almost surely, 2101202020202101 is an apocalyptic number.

It is an amenable number.

101202020202101 is a deficient number, since it is larger than the sum of its proper divisors (23363087370763).

101202020202101 is a wasteful number, since it uses less digits than its factorization.

101202020202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78348380.

The product of its (nonzero) digits is 32, while the sum is 14.

The spelling of 101202020202101 in words is "one hundred one trillion, two hundred two billion, twenty million, two hundred two thousand, one hundred one".

Divisors: 1 7 13 91 14197 99379 184561 1291927 78334163 548339141 1018344119 7128408833 1112110112111 7784770784777 14457431457443 101202020202101