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1021010210100 = 2232521134455789
BaseRepresentation
bin11101101101110001111…
…00110110110100110100
310121121101221211200110200
432312320330312310310
5113212012103210400
62101013504120500
7133523404406616
oct16667074666464
93547357750420
101021010210100
1136400a7117a1
12145a66306130
1375386046a1a
14375ba976db6
151b85b02db00
hexedb8f36d34

1021010210100 has 54 divisors (see below), whose sum is σ = 3200299783590. Its totient is φ = 272269389120.

The previous prime is 1021010210029. The next prime is 1021010210123. The reversal of 1021010210100 is 10120101201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 42881298084 + 978128912016 = 207078^2 + 989004^2 .

It is a super-2 number, since 2×10210102101002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 567226995 + ... + 567228794.

Almost surely, 21021010210100 is an apocalyptic number.

1021010210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021010210100 is an abundant number, since it is smaller than the sum of its proper divisors (2179289573490).

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

1021010210100 is a wasteful number, since it uses less digits than its factorization.

1021010210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134455809 (or 1134455799 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1021010210100 its reverse (10120101201), we get a palindrome (1031130311301).

The spelling of 1021010210100 in words is "one trillion, twenty-one billion, ten million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1134455789 2268911578 3403367367 4537823156 5672278945 6806734734 10210102101 11344557890 13613469468 17016836835 20420204202 22689115780 28361394725 34033673670 40840408404 51050510505 56722789450 68067347340 85084184175 102101021010 113445578900 170168368350 204202042020 255252552525 340336736700 510505105050 1021010210100