10212034111040 has 112 divisors (see below), whose sum is σ = 25035707967600. Its totient is φ = 3964694003712.

The previous prime is 10212034111021. The next prime is 10212034111121. The reversal of 10212034111040 is 4011143021201.

It can be written as a sum of positive squares in 8 ways, for example, as 11471266816 + 10200562844224 = 107104^2 + 3193832^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3788156 + ... + 5896964.

Almost surely, 2^{10212034111040} is an apocalyptic number.

10212034111040 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 10212034111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12517853983800).

10212034111040 is an abundant number, since it is smaller than the sum of its proper divisors (14823673856560).

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

10212034111040 is a wasteful number, since it uses less digits than its factorization.

10212034111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109272 (or 2109262 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 10212034111040 its reverse (4011143021201), we get a palindrome (14223177132241).

The spelling of 10212034111040 in words is "ten trillion, two hundred twelve billion, thirty-four million, one hundred eleven thousand, forty".