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1022020100101 = 711131278039363
BaseRepresentation
bin11101101111101010010…
…01010010000000000101
310121201000100010102010001
432313311021102000011
5113221044121200401
62101302021401301
7133560416341420
oct16676511220005
93551010112101
101022020100101
11364488780030
121460a8569231
13754b7337680
1437674b3a9b7
151b8b9a15601
hexedf5252005

1022020100101 has 32 divisors (see below), whose sum is σ = 1383027867648. Its totient is φ = 729330920640.

The previous prime is 1022020099999. The next prime is 1022020100119. The reversal of 1022020100101 is 1010010202201.

It is not a de Polignac number, because 1022020100101 - 211 = 1022020098053 is a prime.

It is a super-3 number, since 3×10220201001013 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022020109101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3892555 + ... + 4146808.

It is an arithmetic number, because the mean of its divisors is an integer number (43219620864).

Almost surely, 21022020100101 is an apocalyptic number.

1022020100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1022020100101 is a deficient number, since it is larger than the sum of its proper divisors (361007767547).

1022020100101 is a wasteful number, since it uses less digits than its factorization.

1022020100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8039521.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1022020100101 its reverse (1010010202201), we get a palindrome (2032030302302).

The spelling of 1022020100101 in words is "one trillion, twenty-two billion, twenty million, one hundred thousand, one hundred one".

Divisors: 1 7 11 13 77 91 127 143 889 1001 1397 1651 9779 11557 18161 127127 8039363 56275541 88432993 104511719 619030951 731582033 1020999101 1149628909 7146993707 8047402363 11230990111 13272988313 78616930777 92910918191 146002871443 1022020100101