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1011220210100 = 225210112202101
BaseRepresentation
bin11101011011100010110…
…10111110000110110100
310120200010200020011012002
432231301122332012310
5113031434333210400
62052314222314432
7133025656651562
oct16556132760664
93520120204162
101011220210100
1135a94649a901
12143b93728a18
1374485a05409
1436d2c67aa32
151b486802ed5
hexeb716be1b4

1011220210100 has 18 divisors (see below), whose sum is σ = 2194347856134. Its totient is φ = 404488084000.

The previous prime is 1011220210097. The next prime is 1011220210103. The reversal of 1011220210100 is 10120221101.

It is an interprime number because it is at equal distance from previous prime (1011220210097) and next prime (1011220210103).

It can be written as a sum of positive squares in 3 ways, for example, as 127973614756 + 883246595344 = 357734^2 + 939812^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011220210103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5056100951 + ... + 5056101150.

Almost surely, 21011220210100 is an apocalyptic number.

1011220210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011220210100 is an abundant number, since it is smaller than the sum of its proper divisors (1183127646034).

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

1011220210100 is a wasteful number, since it uses less digits than its factorization.

1011220210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10112202115 (or 10112202108 counting only the distinct ones).

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

Adding to 1011220210100 its reverse (10120221101), we get a palindrome (1021340431201).

The spelling of 1011220210100 in words is "one trillion, eleven billion, two hundred twenty million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 10112202101 20224404202 40448808404 50561010505 101122021010 202244042020 252805052525 505610105050 1011220210100