1000121102100 has 108 divisors (see below), whose sum is σ = 3250928705024. Its totient is φ = 266698954080.

The previous prime is 1000121102089. The next prime is 1000121102111. The reversal of 1000121102100 is 12011210001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1000121102089) and next prime (1000121102111).

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20554324 + ... + 20602923.

Almost surely, 2^{1000121102100} is an apocalyptic number.

1000121102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000121102100 is an abundant number, since it is smaller than the sum of its proper divisors (2250807602924).

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

1000121102100 is a wasteful number, since it uses less digits than its factorization.

1000121102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41157276 (or 41157257 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1000121102100 its reverse (12011210001), we get a palindrome (1012132312101).

The spelling of 1000121102100 in words is "one trillion, one hundred twenty-one million, one hundred two thousand, one hundred".