10030011212000 has 384 divisors, whose sum is σ = 27713305122048. Its totient is φ = 3539813376000.

The previous prime is 10030011211991. The next prime is 10030011212009. The reversal of 10030011212000 is 21211003001.

It is an interprime number because it is at equal distance from previous prime (10030011211991) and next prime (10030011212009).

It is a super-2 number, since 2×10030011212000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10030011212009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2560634042 + ... + 2560637958.

It is an arithmetic number, because the mean of its divisors is an integer number (72170065422).

Almost surely, 2^{10030011212000} is an apocalyptic number.

10030011212000 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 10030011212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13856652561024).

10030011212000 is an abundant number, since it is smaller than the sum of its proper divisors (17683293910048).

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

10030011212000 is a wasteful number, since it uses less digits than its factorization.

10030011212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6119 (or 6101 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10030011212000 its reverse (21211003001), we get a palindrome (10051222215001).

The spelling of 10030011212000 in words is "ten trillion, thirty billion, eleven million, two hundred twelve thousand".