1012022111100 has 432 divisors, whose sum is σ = 3961254907904. Its totient is φ = 194113497600.

The previous prime is 1012022111063. The next prime is 1012022111101. The reversal of 1012022111100 is 11112202101.

It is a super-4 number, since 4×1012022111100⁴ (a number of 49 digits) contains 4444 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 not an unprimeable number, because it can be changed into a prime (1012022111101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3150117 + ... + 3456483.

Almost surely, 2^{1012022111100} is an apocalyptic number.

1012022111100 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 1012022111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980627453952).

1012022111100 is an abundant number, since it is smaller than the sum of its proper divisors (2949232796804).

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

1012022111100 is a wasteful number, since it uses less digits than its factorization.

1012022111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306426 (or 306408 counting only the distinct ones).

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

Adding to 1012022111100 its reverse (11112202101), we get a palindrome (1023134313201).

The spelling of 1012022111100 in words is "one trillion, twelve billion, twenty-two million, one hundred eleven thousand, one hundred".