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1021101012020 = 225426111981941
BaseRepresentation
bin11101101101111100101…
…11001111010000110100
310121121122021200220021202
432312332113033100310
5113212203324341040
62101030510232032
7133525556252345
oct16667627172064
93547567626252
101021101012020
113640569a0601
12145a907b5618
137539bab997b
14375c8a520cc
151b863eb8015
hexedbe5cf434

1021101012020 has 24 divisors (see below), whose sum is σ = 2144815545768. Its totient is φ = 408344515200.

The previous prime is 1021101012011. The next prime is 1021101012047. The reversal of 1021101012020 is 202101011201.

It can be written as a sum of positive squares in 4 ways, for example, as 310556540176 + 710544471844 = 557276^2 + 842938^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1021101011992 and 1021101012010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5905751 + ... + 6076190.

It is an arithmetic number, because the mean of its divisors is an integer number (89367314407).

Almost surely, 21021101012020 is an apocalyptic number.

1021101012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021101012020 is an abundant number, since it is smaller than the sum of its proper divisors (1123714533748).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1021101012020 is a wasteful number, since it uses less digits than its factorization.

1021101012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11986211 (or 11986209 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1021101012020 its reverse (202101011201), we get a palindrome (1223202023221).

The spelling of 1021101012020 in words is "one trillion, twenty-one billion, one hundred one million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 4261 8522 17044 21305 42610 85220 11981941 23963882 47927764 59909705 119819410 239638820 51055050601 102110101202 204220202404 255275253005 510550506010 1021101012020