10001011120212 has 96 divisors (see below), whose sum is σ = 27830164303872. Its totient is φ = 2733071463936.

The previous prime is 10001011120183. The next prime is 10001011120241. The reversal of 10001011120212 is 21202111010001.

It is an interprime number because it is at equal distance from previous prime (10001011120183) and next prime (10001011120241).

It is a super-2 number, since 2×10001011120212² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47408433 + ... + 47618919.

It is an arithmetic number, because the mean of its divisors is an integer number (289897544832).

Almost surely, 2^{10001011120212} is an apocalyptic number.

10001011120212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10001011120212 is an abundant number, since it is smaller than the sum of its proper divisors (17829153183660).

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

10001011120212 is a wasteful number, since it uses less digits than its factorization.

10001011120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235117 (or 235115 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10001011120212 its reverse (21202111010001), we get a palindrome (31203122130213).

The spelling of 10001011120212 in words is "ten trillion, one billion, eleven million, one hundred twenty thousand, two hundred twelve".