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1022101000000 = 26563132971
BaseRepresentation
bin11101101111110011111…
…01111000111101000000
310121201012222100112220121
432313321331320331000
5113221230324000000
62101314031350024
7133562421103243
oct16677175707500
93551188315817
101022101000000
1136451a406353
1214610b682314
13754cb021532
143768179925a
151b8c1b95b1a
hexedf9f78f40

1022101000000 has 196 divisors, whose sum is σ = 2617119000448. Its totient is φ = 395640000000.

The previous prime is 1022100999977. The next prime is 1022101000021. The reversal of 1022101000000 is 1012201.

It is a super-3 number, since 3×10221010000003 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 30983515 + ... + 31016485.

Almost surely, 21022101000000 is an apocalyptic number.

1022101000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022101000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308559500224).

1022101000000 is an abundant number, since it is smaller than the sum of its proper divisors (1595018000448).

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

1022101000000 is an frugal number, since it uses more digits than its factorization.

1022101000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33044 (or 33009 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1022101000000 its reverse (1012201), we get a palindrome (1022102012201).

The spelling of 1022101000000 in words is "one trillion, twenty-two billion, one hundred one million", and thus it is an aban number.